Question

find the measure of ∠x in the figure.

Explanation:

Step1: Identify angle sum relation

The total angle around the right angle (90°) and the given 47° angle, with ∠x, should sum such that the right angle is composed of 47° and ∠x. So, \( 47^\circ + x = 90^\circ \).

Step2: Solve for x

Subtract 47° from both sides: \( x = 90^\circ - 47^\circ \).
Calculate the difference: \( x = 43^\circ \).

Answer:

\( 43^\circ \)