Algebra and Up:
Question: The tessellation pattern comprises regular pentagons and rhombuses. Find the measure of x.
Answer: 144°
Solution: Since the sum of the measures of all 5 vertices of a pentagon is 540°, that means that each angle is 540° ÷ 5 = 108°. Two 108° angles and x make a full 360° circle, so 360° – 108° × 2 = 360° – 216° = 144°. So, the measure of x is 144°.
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