Question

if ∆ABC~∆PQR such that angle A=30° and angle R=65° then find angle B​

Answer 1

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consider triangles ABC and PQR

In triangle ABC and PQR

• Angle A = Angle P
• Angle B = Angle Q
• Angle C = Angle R

Therefore

∆ABC~∆PQR ( BY AAA RULE OF CONGRUENCY)

In the question it is given that

Angle A = 30°

similarly angle R = 65°

But we had proved that

Angle C = Angle R

so ,

we get Angle C = 65°

Now in triangle ABC

Angle A + angle B + angle C = 180°

30°+B+65°=180°

B+95°=180°

B= 180°-95°

B = 85°

Therefore

Angle B = 85°

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