Problem of the Week - Algebra and Up - Oct. 11, 2020 to Oct. 17, 2020

Algebra and Up: 

Question: In the figure below, AG is a line and the measure of x is two times the measure of y. What is the value of y? 

Answer:  40°

Solution:   Since AG is a line, 6z = 180°. So, z = 180° ÷ 6 = 30°.  We also know that x + y + 2z = 180°, or x + y + 60 = 180°, or x + y = 120°. If x = 2y, then we can conclude that 3y = 120°. So, y must be 120° ÷ 3 = 40°.