Question

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate.

Also, m∠A = 45° and m∠S = 75°.

What is m∠B?

_________ °

Answer 1

Angle B is 60 degrees

Answer 2

Measure of ∠B is 60°

Explanation:

Given triangle ABC is similar to triangle QRS.

m∠A = 45° and m∠S = 75°

we have to find the measure of ∠B.

As triangles are similar then corresponding angles are congruent.

⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S

hence, m∠C=m∠S=75°

By angle sum property

m∠A+m∠B+m∠C=180°

⇒ 45°+m∠B+75°=180°

⇒ m∠B+120°=180°

⇒ m∠B=60°

hence, measure of ∠B is 60°