Answer :
Answer
Angle R = 15°
Angle P = 130°
Angle Q = 35°
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!!!