Answer:
x = 10 , y = 25
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid
In a trapezoid
• each lower base angle is supplementary to the upper base angle on the same side
(5x - 20)° and 3x° are alternate angles and are congruent ( equal) , then
5x - 20 = 3x ( subtract 3x from both sides )
2x - 20 = 0 ( add 20 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then 3x = 3 × 20 = 60
4y and (2y + 3x ) are lower and upper base angles , then
4y + 2y + 3x = 180 , that is
6y + 30 = 180 ( subtract 30 from both sides )
6y = 150 ( divide both sides by 6 )
y = 25
