Question

The two triangles below are similar. Also, m A = 15° and m ZC - 35° as shown below Find m2P, m 2Q, and m ZR. Assume the triangles are accurately drawn

Answer 1

Angle R = 15°

Angle P = 130°

Angle Q = 35°

Step-by-step explanation

First noting that the sum of angles in a triangle is 180°.

We first need to calculate the Angle B for the first triangle.

Angle A + Angle B + Angle C = 180°

15° + Angle B + 35° = 180°

Angle B + 50° = 180°

Angle B = 180° - 50°

Angle B = 130°

We are then told to find Angles P, Q and R.

We are told that the two triangles are similar .

Two similar triangles will have the same angle measures.

So, we just need to note the corresponding angles and equate the unknowns.

Triangle ABC is similar to Triangle RPQ

Angle R = Angle A = 15°

Angle P = Angle B = 130°

Angle Q = Angle C = 35°

Hope this Helps!!!