Question

How Would I Find The Answer ?

Answer 1

Answer:   B. 34°

Step-by-step explanation:

∠RQS + ∠SQT = ∠RQT

$\bigg(\dfrac{1}{2}x+4\bigg)+\bigg(\dfrac{3}{4}x-6\bigg)=2x-47\\\\\\.\qquad\qquad\qquad\dfrac{5}{4}x-2=2x-47\\\\\\.\qquad\qquad\qquad\quad -2=\dfrac{3}{4}x-47\\\\\\.\qquad\qquad\qquad\qquad 45=\dfrac{3}{4}x\\\\\\.\qquad\qquad\qquad\qquad 180=3x\\\\\\.\qquad\qquad\qquad\qquad 60=x$

$\angle RQS=\dfrac{1}{2}x+4\\\\.\qquad=\dfrac{1}{2}(60)+4\\\\.\qquad=30+4\\\\.\qquad=34$