Question

Find m∠PQW if m∠WQR = 130°, m∠PQR = 16x, and m∠PQW = 3x.

Answer 1

`m\angle PQW=30^o`

Explanation:

see the attached figure to better understand the problem

we know that

`m\angle PQR=m\angle PQW+m\angle WQR` ---> by addition angle postulate

substitute the given values

`16x=3x+130\o`

solve for x

`16x-3x=130^o`

`13x=130^o`

`x=10^o`

Find the measure of angle PQW

`m\angle PQW=3x`

substitute the value of x

`m\angle PQW=3(10^o)=30^o`