Question

The following figure shows a
quadrilateral in which
side AB and DC are parallel.
If angle B : angle C = 4:5,
and angle A = 2x - 10 and angle D = 3x
+ 30.
Find each angle of the Quadrilateral.
(4 Points)
Enter your answer​

Answer 1

Answer:

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Answer 2

Answer:

Let ∠A = 4x

∠D = 5x

Since ∠A + ∠D = 180° [AB||DC]

4x + 5x = 180°

=> 9x = 180°

=> x = 20°

∠A = 4 (20) = 80°,

∠D = 5 (20) = 100°

Again ∠B + ∠C = 180° [ AB||DC]

3x – 15° + 4x + 20° = 180°

7x = 180° – 5°

=> 7x = 175°

=> x = 25°

∠B = 75° – 15° = 60°

and ∠C = 4 (25) + 20 = 100°+ 20°= 120°