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The value of the variables 'x' and 'y' will be 10 and 13, respectively.
The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The angles ∠EYD, ∠YDE, and ∠DEY are supplementary angles. Then the equation is written as,
∠EYD + ∠YDE + ∠DEY = 180°
70° + 5y + 45° = 180°
5y = 65°
y = 13°
In a parallelogram, the opposite angles are equal. Then we have
∠EDY = ∠EFY
7x - 5 = 5y
7x - 5 = 5(13)
7x - 5 = 65
7x = 70
x = 10°
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