Question

GEOMETRY 100 POINTS CHALLENGE

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Answer 1

x = 6

∠D = 127

Explanation:

In a parallelogram, opposite angles are equal and adjacent angles add to 180

⇒ ∠A = ∠C and ∠C + ∠D = 180

∠A = ∠C

⇒ 13x - 25 = 9x - 1

⇒ 13x - 9x = 25 - 1

⇒ 4x = 24

⇒ x = 24/4

⇒ x = 6

∠C = 9x - 1

= 9(6) - 1

= 54 - 1

= 53

∠C + ∠D = 180

⇒ ∠D = 180 - ∠C

= 180 - 53

= 127