Question

In adjoining figure, ABCD is a rectangle. find x,y and z.​

Answer 1

Answer:

x=42

y=48

z=48

Step-by-step explanation:

In triangle AOB

angle A+angle B+angle O =180

x+x+96=180

2x=180-96

2x=84

x=84/2

x=42

In triangle BOC

angle BOC=180-96 [linear pair]

angle BOC=84

Angle(B+O+C )=180

y+84+y=180

2y=180-84

2y=96

y=96/2

y=48

In triangle AOD

Angle AOD=180-96

Angle AOD=84

Angle(A+O+D)=180

84+z+z=180

2z=180-84

z=96/2

z=48

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