Question

which equation will tell us the measure of $\angle x$ ?
choose 1 answer:
a $36^{\circ} + 36^{\circ} + 36^{\circ} = x$
b $36^{\circ} + 36^{\circ} + 36^{\circ} + 36^{\circ} + 36^{\circ} = x$
c $36^{\circ} + 36^{\circ} = x$

Explanation:

Step1: Analyze the angle composition

Looking at the diagram, the angle \( x \) is composed of three \( 36^\circ \) angles. So we need to sum three \( 36^\circ \) angles to get \( x \).

Step2: Check the options

• Option A: \( 36^\circ + 36^\circ + 36^\circ = x \) (sums three \( 36^\circ \) angles, matches the composition).
• Option B: Sums five \( 36^\circ \) angles, which is incorrect.
• Option C: Sums two \( 36^\circ \) angles, which is incorrect.

Answer:

A. \( 36^\circ + 36^\circ + 36^\circ = x \)