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In triangle ABC angle B is three times angle A and angle angle C is three degree less than six times angle A find the angles?
Wiki User
∙ 14y ago
You can work this out with the knowledge that the sum of the angles in a triangle will always be 180°. We know then that A + B + C = 180°. We are also told that:
"angle B is three times angle A", which means:
B = 3A
"angle C is three degrees less than six times angle A", which means:
C = 6A - 3°
We can then work out the value of A by plugging those two equations in to the first one. Once we have that, then the values of the other two angles can be worked out as well:
A + B + C = 180°
∴ A + 3A + 6A - 3° = 180°
∴ 10A = 183°
∴ A = 18.3°
B = 3A
∴ B = 3(18.3°)
∴ B = 54.9°
C = 6A - 3°
∴ C = 6(18.3°) - 3°
∴ C = 109.8° - 3°
∴ C = 106.8°
Wiki User
∙ 14y ago
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Can an equilateral triangle have a 90 degree angle?
No. In an equilateral triangle all three angles are the same - 60º
What is angle sum property of a triangle?
The sum of the three interior angles of a triangle is always 180 degree is known as angle sum property of a triangle.
Why do all triangles have acute angles?
A triangle is a three-sided figure with three angles, two or three of which (depending on the triangle) must be acute angles. The sum of all of the angles has to equal 180° - no more, no less. An acute angle is an angle of less than 90°. If one of the angles of a triangle is 90° or more (it is a right angle or obtuse angle) the SUM of the other two angles cannot exceed 180° minus the degree of the first angle. Therefore the two remaining angles must be less than the first angle, which means that they have to be acute angles.
Why is it impossible for a triangle to contain a 180 angle?
It is impossible to have a 180 degree angle because all three of a triangle's angles have to equal 180. If you have one angle of 180, then you would have 2 angles of 0, making a plain old straight line.
How many degrees do the 3 angles in a triangle add up to?
The 3 angles in a triangle ALWAYS add up to 180 degrees. Below are the different types of triangles: * Right triangle: one 90 degree angle * Equilateral triangle: All angles are the same (60 degrees) * Isosceles triangle: two angles are the same and two sides are the same * Scalene triangle: all three angles and all three sides are different * Obtuse triangle: one obtuse angle (angle greater than 90 degrees)
Is an equilateral triangle have a acute angle in it?
An equilateral triangle has three acute (60 degree) angles.
Determine the measure of the missing angle in the triangle below the sum of the three angles in a triangle is 180 degree?
37 degree
Can an equilateral triangle have a 90 degree angle?
No. In an equilateral triangle all three angles are the same - 60º
What is angle sum property of a triangle?
The sum of the three interior angles of a triangle is always 180 degree is known as angle sum property of a triangle.
If you have a triangle with one angle 110 degree's and the other two angles equal 120 degree's What are the other 2 angles?
A triangle has only three angles and they sum to 180 degrees.
Does a right-angled triangle have an obtuse angle?
No because it has an 90 degree angle and two acute angles. The three interior angles of a triangle add up to 180 degrees.
Does a triangle have to have a 90 degree angle?
Unless it is a religious triangle it does not have to have any angels! Seriously, though, a triangle does not have to have a 90 degree angle. In terms of its angles, the only requirement is that the measures of the three angles adds to 180 degrees (or pi radians).
Can a right triangle be classified as an acute triangle?
No. An acute triangle has to have three acute angles. A right triangle has to have one 90 degree angle.
What is the converse for If a triangle has a ninety-degree angle then it is a right triangle in math?
If none of the three angles of a triangle is ninety degrees, then it is not a right triangle
Why cant you have two obtuse angles in a triangle?
Angle sum property of a triangle states that the sum of angles in any triangle should be 180 degree. An angle greater than 90 degree is an obtuse angle. If we have 2 obtuse angles in a triangle, say, 95 degree, 100 degree & 50, it always tend to violate the angle sum property of the triangle. So we cannot have 2 obtuse angles in a triangle.
What does a right triangle measure?
A right angle triangle is made up of one 90 degree angle and two acute angles and the three angles add up to 180 degrees.
What has 3 sides and 3 angles but only 2 are acute?
A right triangle because it has three sides and three angles. One of the angles though is an 90 degree angle making the other two acute angles because another 90 degree angle or an obtuse angle would not fit. An obtuse triangle also has 2 acute angles.
