Question

Q) In a quadrilateral ABCD, AB || DC. If angleA: angleD = 2 : 3 and angleB : angleC = 7: 8, find the
measure of each angle.
PLS HELP
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Answer 1

Answer:

36 ,54 ,126 , 144

Step-by-step explanation:

□ ABCD be a quadrilateral , AB || DC

angle A : angle D = 2: 3 , angle B : angle c = 7:8

Equal ratio be x

angle A = 2x ,angle D = 3x, angle B = 7x ,angle c = 8x

sum of all angle of quadrilateral is 360

A + B +C + D = 360

2x + 3x + 7x +8x = 360

20 x = 360

x = 360/20

x = 18

Angle A = 2x = 2×18 = 36

Angle D = 3x = 3 × 18 = 54

Angle B = 7x = 7 × 18 = 126

Angle C = 8x = 8 × 18 = 144