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Sagot :
Answer:
Measure of ∠B is 60°
Step-by-step 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°
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