Question

please answer this question..if you answer correct, i will mark you brainliest.​

Answer 1

ans--

a. X=23

b. X=10

This is the answer.

Answer 2

(a)

AngleA + AngleB + AngleC + AngleD = 360°

3x + 20 + 4x + 5x + 2x + 18 = 360°

14x + 38 = 360°

14x = 360° - 38

14x = 322°

x = 322/14

x = 23°

AngleA= 3x+20 = 3×23+20 = 66°

Angle B= 4x = 4×23 = 92°

Angle C= 5x = 5×23 = 115°

Angle D= 2x + 18 = 2×23+18 = 64°

(b)

Since AB//CD and AD//BC

Therefore , ABCD is a parallelogram.

Therefore AngleA=AngleC and AngleB=AngleD

(opposite angles of parallelogram are equal)

AngleA + AngleB + AngleC + AngleD = 360°

11x - 10 + 80° + 11x - 10 + 80 = 360°

22x + 60° = 360°

22x = 360°-140°

22x = 220°

x= 220/22

x = 10°

AngleA = AngleC = 11x-10 = 11×10 -10 = 100°

AngleB = AngleD = 80°

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