Answer:
x = 21 , y = 4
Explanation:
(6x - 32)° and (4x + 2)° are same- side interior angles and sum to 180°
sum the 2 angles, equate to 180 and solve for x
6x - 32 + 4x + 2 = 180 ( collect like terms on left side )
10x - 30 = 180 ( add 30 to both sides )
10x = 210 ( divide both sides by 10 )
x = 21
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11y and 10y + 4 are alternate angles and are congruent (equal ), then
11y = 10y + 4 ( subtract 10y from both sides )
y = 4