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