Question

ABCD is a trapezium if AB ll CD angle a = 74 degree and Angle B : angle C =4:5. find the measure of angles D,B and C

Answer 1

a=74,b= 80,c=100,d=106

Answer 2

Answer:

angle A=74°

angle B=80°

angle C=100°

angle D=106°

Step-by-step explanation:

The Solution:-

let angle B=4x and let angle C=5x

4x+5x=180° ........(co-interior angle)

9x=180°

∴x=20°

∠C=5(x)=>5x20=100°

∠B=4(x)=>4x20=80°

NOW:

∠D+74=180°.......(co-interior angle)

∠D=180-74

∴∠D=106°

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