Question

How Would I Find The Answer ?

Answer 1

Answer: B. 34°

Explanation:

∠RQS + ∠SQT = ∠RQT

`\bigg((1)/(2)x+4\bigg)+\bigg((3)/(4)x-6\bigg)=2x-47\\\\\\.\qquad\qquad\qquad(5)/(4)x-2=2x-47\\\\\\.\qquad\qquad\qquad\quad -2=(3)/(4)x-47\\\\\\.\qquad\qquad\qquad\qquad 45=(3)/(4)x\\\\\\.\qquad\qquad\qquad\qquad 180=3x\\\\\\.\qquad\qquad\qquad\qquad 60=x`

`\angle RQS=(1)/(2)x+4\\\\.\qquad=(1)/(2)(60)+4\\\\.\qquad=30+4\\\\.\qquad=34`