Math Problem of the Week - Algebra and Up - Aug. 1, 2021 to Aug. 7, 2021

Algebra and Up: 

Question: The tessellating 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°.