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What meausure of angle a will make abc fde?
To determine the measure of angle ( a ) that will make triangles ( ABC ) and ( FDE ) similar (denoted as ( ABC \sim FDE )), you would typically use the Angle-Angle (AA) similarity criterion. This means that if two angles of triangle ( ABC ) are equal to two angles of triangle ( FDE ), then the measure of angle ( a ) must equal the corresponding angle in triangle ( FDE ). If more specific information about the angles in the triangles is provided, a precise measure for angle ( a ) can be calculated.
Can you prove that angle B is the only right angle in triangle ABC?
The sum of the internal angles of a triangle is 180º. If B is a right angle it has 90º, so there are only 90º left for the other two angles, meaning that they cannot be right!
If measure reflex angle ABC equals 240 then measure angle ABC equals?
The sum of the two angles is 360. So angle ABC = 120 degrees.
Write a paragraph proof to show that the base angles of an isosceles trapezoid are congruent?
To prove that the base angles of an isosceles trapezoid are congruent, consider an isosceles trapezoid ( ABCD ) with ( AB \parallel CD ) and ( AD \cong BC ). By the properties of parallel lines, the angles ( \angle DAB ) and ( \angle ABC ) are consecutive interior angles formed by the transversal ( AD ) and ( BC ), respectively, thus ( \angle DAB + \angle ABC = 180^\circ ). Similarly, the angles ( \angle ADC ) and ( \angle BCD ) also sum to ( 180^\circ ). Since ( AD \cong BC ) and the trapezoid is isosceles, the two pairs of opposite angles must be equal, leading to ( \angle DAB \cong \angle ABC ) and ( \angle ADC \cong \angle BCD ), proving that the base angles ( \angle DAB ) and ( \angle ABC ) are congruent.
An isoceles triangle has two sides of 52 and one side of 40 What are the angles?
Let the sides be abc and their opposite angles be ABC and so: Using the cosine rule angle A = 67.38 degrees Using the cosine rule angle B = 67.38 degrees Angle C: 180-67.38-67.38 = 45.24 degrees
What meausure of angle a will make abc fde?
To determine the measure of angle ( a ) that will make triangles ( ABC ) and ( FDE ) similar (denoted as ( ABC \sim FDE )), you would typically use the Angle-Angle (AA) similarity criterion. This means that if two angles of triangle ( ABC ) are equal to two angles of triangle ( FDE ), then the measure of angle ( a ) must equal the corresponding angle in triangle ( FDE ). If more specific information about the angles in the triangles is provided, a precise measure for angle ( a ) can be calculated.
What possible measures for angle a and angle b with triangle abc is a right triangle with the right angle at c?
'a' and 'b' must both be acute, complementary angles.
Can you prove that angle B is the only right angle in triangle ABC?
The sum of the internal angles of a triangle is 180º. If B is a right angle it has 90º, so there are only 90º left for the other two angles, meaning that they cannot be right!
Prove that the bisectors of 2 adjacent supplementary angles include a right angle?
∠DAB + ∠EBA = 180� ⇒ 2∠CAB + 2∠CBA = 180� (Using (1) and (2)) ⇒ ∠CAB + ∠CBA = 90� In ∆ABC, ∠CAB + ∠CBA + ∠ABC = 180� (Angle sum property) ⇒ 90� + ∠ABC = 180� ⇒ ∠ABC = 180� - 90� = 90� Thus, the bisectors of two adjacent supplementary angles include a right angle.
If measure reflex angle ABC equals 240 then measure angle ABC equals?
The sum of the two angles is 360. So angle ABC = 120 degrees.
Write a paragraph proof to show that the base angles of an isosceles trapezoid are congruent?
To prove that the base angles of an isosceles trapezoid are congruent, consider an isosceles trapezoid ( ABCD ) with ( AB \parallel CD ) and ( AD \cong BC ). By the properties of parallel lines, the angles ( \angle DAB ) and ( \angle ABC ) are consecutive interior angles formed by the transversal ( AD ) and ( BC ), respectively, thus ( \angle DAB + \angle ABC = 180^\circ ). Similarly, the angles ( \angle ADC ) and ( \angle BCD ) also sum to ( 180^\circ ). Since ( AD \cong BC ) and the trapezoid is isosceles, the two pairs of opposite angles must be equal, leading to ( \angle DAB \cong \angle ABC ) and ( \angle ADC \cong \angle BCD ), proving that the base angles ( \angle DAB ) and ( \angle ABC ) are congruent.
Angles ABC and BC] are alternateinterior angles. Use a transformationthat takes angle ABC to angle BC] toprove that alternate interior angles arecongruent. Label any other points onthe figure that will help to define atransformation?
Yes
Triangle ABC is an isosceles right triangle. what is the measure of a base angle?
The 2 equal base angles are 45 degrees and all 3 interior angles add up to 180 degrees.
Exterior angle property of a triangle?
measure of exterior angle of triangle is equal to sum of interior angles. for eg. In triangle ABC, angle C is exterior angle angle A and angle B are interior angles so, C=A+B
What type of triangle is angle abc obtuse acute or right?
If one of the angles is 90 degrees then it is right ange triangle If one of the angles is obtuse then it is an obtuse triangle If the three angles are 3 different acute then it is a scalene triangle If two of the angles are equal then it is an isosceles triangle If the three angles are equal then it is an equilateral triangle
What are the classification of triangle according to sides and angles?
Classification of Triangles According to anglesIf one angle of a triangle is a right angle (90°), then it is called a Right triangle. Note that the other two angles are acute.If all the angles of a triangle are acute (less than 90°), then it is called an acute angled triangle.If one angle of a triangle is obtuse (greater than 90°), then it is called an obtuse triangle. Note that the other two angles are acute.According to sides:If any two sides of a triangle are equal, then it is called an Isosceles Triangle. In ABC, AB = AC ABC is isosceles.If all the three sides of a triangle are equal, then it is an Equilateral Triangle. In ABC, AB = BC = CA ABC is equilateral.If no two sides of a triangle are equal, then it is called a Scalene Triangle. In ABC, AB BC CA. ABC is scalene.
Does a right triangle have perpendicular sides?
A right triangle in a plane is one in which one of the three angles is a right angle. It is obious that the two sides, making up the right angle, must be perpendicular. In symbols, if triangle ABC is a right triangle with angle B as the right angle, then the sides AB and BC are perpendicular.
