Question

find the measure of the missing angle.
109°
a

Explanation:

Step1: Identify angle relationship

The two angles (109° and \( a \)) form a linear pair, so their sum is 180°.

Step2: Solve for \( a \)

Use the formula \( 109^\circ + a = 180^\circ \). Subtract 109° from both sides: \( a = 180^\circ - 109^\circ \).

Step3: Calculate the result

\( 180 - 109 = 71 \), so \( a = 71^\circ \).

Answer:

\( 71^\circ \)