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Has an isosceles triangle have an obtuse angle?
Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.
How do you determine the third angle of a triangle if 2 angles are known?
There are 180 degrees in a triangle. So, if you subtract two angles (angles A and B) from 180 degrees, you get the third angle (angle C). So: 180 - A - B = C
Is the sum of any two angles of a triangle always greater than the third angle. if not why?
Yes, the sum of any two angles of a triangle is always greater than the third angle. This is due to the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must exceed the measure of the third angle. This ensures that the angles are within the constraints of Euclidean geometry, where the total sum of angles in a triangle is always 180 degrees. Thus, if you take any two angles and add them together, they will always be greater than the remaining angle.
The sum of the measure of two angles of a triangle is 95 degrees What is the measure of the third angle?
The third angle is 85 degrees. The sum of all internal angles in a triangle is always 180 degrees
Is the third angle in a triangle always the supplement to the sum of the other two angles?
Yes, in any triangle, the sum of the three interior angles is always 180 degrees. Therefore, the third angle is equal to 180 degrees minus the sum of the other two angles. This means that the third angle is indeed the supplement to the sum of the other two angles, confirming that it is always true for any triangle.
If two angles of a triangle are copmplimentary what is the measure of the third angle?
Two angles of a triangle add up to 65°. What is the measure of the third angle?
What is the Third angle theorem?
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
What if two angles of a triangle are complemenatr what is the measure of the third angle?
The sum of two complementary angles is 90 degrees. The three angles of a triangle add up to 180 degrees. Hence, if you subtract the complementary angles from 180, you have the measure of the third angle: 180 - 90 = 90 (this is the third angle) As a rule, if two angles of a triangle are complementary, the third angle is a right angle (90 deg). The three angles together form a right triangle.
If two angles in a triangle are congruent to two angles in another triangle what can you conclude about the third angle on both triangles?
Equilateral Triangle
Has an isosceles triangle have an obtuse angle?
Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.
What is the measure of the third angle of the triangle?
The third angle of a triangle is equal to 180 degrees minus (the sum of the first two angles).
Can a right triangle have two 60 degree angles?
Sum of all angles in a triangle is equal to 180o. If two angles are 60o then the third angle is: Third angle = 180o - (60o + 60o) = 60o. But a right triangle is one having one angle equal to 90o but in this case there is no angle equal to 90o. So there is no right triangle which has two angles equal to 60o.
If two angles of a triangle each measure what is the measure of the third angle?
180- total of the first two angles= 3rd angle
How do you determine the third angle of a triangle if 2 angles are known?
There are 180 degrees in a triangle. So, if you subtract two angles (angles A and B) from 180 degrees, you get the third angle (angle C). So: 180 - A - B = C
Is the sum of any two angles of a triangle always greater than the third angle. if not why?
Yes, the sum of any two angles of a triangle is always greater than the third angle. This is due to the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must exceed the measure of the third angle. This ensures that the angles are within the constraints of Euclidean geometry, where the total sum of angles in a triangle is always 180 degrees. Thus, if you take any two angles and add them together, they will always be greater than the remaining angle.
What is the third angle of a triangle if the sum of the other two angles is 148 degrees?
The sum of the angles of a triangle is 180 degrees. If the sum of two of a triangle's angles is 148, then the third angle must be 180 - 148 = 32 degrees.
The sum of the measure of two angles of a triangle is 95 degrees What is the measure of the third angle?
The third angle is 85 degrees. The sum of all internal angles in a triangle is always 180 degrees
