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

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

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 ~

Answer 2

Answer:

• D) 44.7°

--------------------------

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°