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3 years ago

How Would I Find The Answer ?

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

Answer: B. 34°

Step-by-step explanation:

∠RQS + ∠SQT = ∠RQT

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

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

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