Question

Find the value of angle \(x\).

• A. ${37}^{\circ }$
• B. ${63}^{\circ }$
• C. ${53}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C

${53}^{\circ }$

$\begin{array}{c}i={37}^{\circ }\\ r={37}^{\circ }\end{array}]\to \text{by law of reflection}x+r={90}^{\circ }\left(\text{Complementary angles}\right)x=90-rx=90-{37}^{\circ }x={53}^{\circ }$