Problem of the Week - Algebra and Up - Nov. 1, 2020 to Nov. 7, 2020

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°.