Question

Angles W and X are complementary. Determine the degree measure of ∠W if m∠X = 45.3°.

134.7°
90°
67.35°
44.7°

Answer 1

• D) 44.7°

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Complementary angles add up to 90°

• m∠X + m∠W = 90°
• 45.3 + m∠W = 90
• m∠W = 90 - 45.3
• m∠W = 44.7°

Answer 2

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

If two angles are complementary, sum of their angle measures should be equal to 90°

So, here Angle W and Angle X are complementary angles, that is : Angle W + Angle X =90°

`\qquad \sf  \dashrightarrow \: \angle W + \angle X = 90 \degree`

`\qquad \sf  \dashrightarrow \: \angle W = 90 \degree - \angle X`

`\qquad \sf  \dashrightarrow \: \angle W = 90 \degree - 45.3 \degree`

`\qquad \sf  \dashrightarrow \: \angle W = 44.7 \degree`

Thats all, i hope it was helpful ~