Question

!25 POINTS! (1 SIMPLE GEOMETRY QUESTION)

SAVITHA ANSWER PLEASE

QUESTION BELOW

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Answer 1

x = 67

Explanation:

Since ABCD is a parallelogram,

AD ║ BC

Since EFGDis a parallelogram,

ED ║ FG

⇒ BC ║ FG

⇒ ∠FGD = ∠BCD (corresponding angles)

⇒ ∠BCD = x + 40

Since ABCD is a parallelogram,

∠ABC + ∠BCD = 180

⇒ 73 + x + 40 = 180

⇒ 113 + x = 180

⇒ x = 67

Answer 2

x = 67°

Explanation:

m<B = m<GDE opposite angles of parallelogram are equal

m<FGD + m<GDE = 180° the sum of successive angles of parallelogram is 180°

therefore, m<FGD + m<B = 180°

x + 40° + 73° = 180°

x + 113° = 180°

x = 67°