△MNO ∼ △QRS. m∠M =130°, m∠S = 15°

Question

. What's m∠R
?
explain why its 45

Answer 1

Since △MNO is similar to △QRS, corresponding angles are congruent. Therefore, m∠M = m∠Q and m∠N = m∠R.

Given that m∠M = 130°, and m∠S = 15°, we can find m∠Q by subtracting the known angles from 180° as follows:
m∠Q = 180° - m∠S - m∠M
m∠Q = 180° - 15° - 130°
m∠Q = 180° - 145°
m∠Q = 35°

Since m∠Q = m∠R, m∠R = 35°.

Therefore, m∠R = 35°.