Question

In fig. ABCD is a quadrilateral with angle B =65 and angle D =105 . If angle A and angle C are in the ratio 3:7, find the value of x and y​

Answer 1

Explanation:

Sum of all angles in a quadrilateral=180 degree

Let us take 3:7 as 3x and 7x

65+105+3x+7x=180

175+10x=180

10x=180-175

10x= 5

x=5/10

x=0.5

A=3x=3*0.5=1.5

C=7x=7*0.5=3.5

Answer 2

Answer:

A=57, C=133

Explanation:

LET A BE 3x AND C BE 7x.

A+B+C+D =360

3x+65+7x+105=360

360-170=10x

190/10=x

x=19

A= 19*3 = 57

C = 19*7 = 133

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