Question

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

Answer 1

Answer:

$m\angle PQW=30^o$

Step-by-step 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

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