Question

ABC ~ PQR. if 2angleP=3 angleQ and angleC =100 find angleB​

Answer 1

Answer:

B = 32°

Step-by-step explanation:

Let just denote the angles as A,B,C,P,Q and R

Since, ABC ~ PQR

P/Q = A/B = 3/2

So, let A = 3x and B = 2x -------------------1

Also, C = 100° ( According to question)

And, sum of angles is 180°

A + B + C = 180°

3x + 2x + 100° = 180°

5x = 80°

x = 16°

B = 2x (From 1)

therefore, B = 2(16°) = 32°