Triangle mno is similar to triangle pqr if angle n measures 85 degrees and angle p measures 75 degrees what is the measure of angle r?

m∠R = 20°

Step-by-step explanation:

Given that : ΔMNO ≅ ΔPQR

So, By using the property that corresponding parts of congruent triangles are equal.

We get, m∠M = m∠P , m∠N = m∠Q , m∠O = m∠R

Now, m∠N = 85

⇒ m∠N = m∠Q = 85

Also, m∠P = 75

Now, in ΔPQR using angles sum property of a triangle

⇒ m∠P + m∠Q + m∠R = 180

⇒ 75 + 85 + m∠R = 180

⇒ 160 + m∠R = 180

⇒ m∠R = 20°