Question

find the measure of the missing angle.

Explanation:

Step1: Identify angle type (right angle)

The diagram shows a right angle (90°) split into two angles: \( a \) and \( 56^\circ \). So, \( a + 56^\circ = 90^\circ \).

Step2: Solve for \( a \)

Subtract \( 56^\circ \) from \( 90^\circ \): \( a = 90^\circ - 56^\circ \).

Step3: Calculate the result

\( 90 - 56 = 34 \), so \( a = 34^\circ \).

Answer:

The measure of the missing angle \( a \) is \( 34^\circ \).