Question

△ABC and △PQR are similar triangles such that <A=32°

and <R=65° then <B is

a) 83° b) 32° c) 65° d) 97° ​

Answer 1

Answer:

A) 83

Step-by-step explanation:

Given triangles ABC and PQR are similar.

Hence, ∠A=∠P,∠B=∠Qand∠C=∠R.

Also known ∠A=∠P=32

o

,∠B=∠Qand∠C=∠R=65

o

.

Hence, by angle sum property of a triangle, ∠B=180

o

−(32

o

+65

o

)=83

o

.