Question

In ABC, A and B have the same measure. The measure of C is twice the measure of A. Find the measures of the angles in triangles

Answer 1

Answer: A is 45 degrees, B is 45 degrees, C is 90 degrees.

Step-by-step explanation: A triangle is 180 degrees, and those three numbers add to that. This would be considered a right triangle due to the 90 degree angle.

Answer 2

Explanation:

In ABC, A and B have the same measure. This means that triangle ABC is an isosceles triangle. Therefore

A = B

The measure of C is twice the measure of A. This means that

C = 2A

The sum of the angles in a triangle is 180 degrees. It means that

A + B + C = 180 - - - - - - - - -1

Substituting A = B and C = 2A into equation 1, it becomes

A + A + 2A = 180

4A = 180

A = 180/4 = 45 degrees

The measure of angle A is is 45 degrees.

The measure of angle B is is 45 degrees.

The measure of angle C is 2 × 45 = 90 degrees.