Question

In the given figure AB and CD intersect each other at O. If angle AOE = 75

find the value of X, Y and Z.

Answer 1

Answer:

Brainly.in

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Secondary School Math 5 points

In the figure given below, line, ab and CD intersect each other at O. find the value of x, y, z.

Ask for details Follow Report by Faru17 12.08.2018

Answers

SinhaMaster

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Hey user,

Z=84°(Vertical opposite angles)

2x + 84° = 180°(linear pair)

2x = 180°-84°

2x = 96

x = 96/2=48

x = 48

so, 2x = 96

75 + y = 96 (Vertical opposite angles)

y = 96-75

y = 21

Please mark it as the brainliest answer

Answer 2

Answer:

Since OC and OD are in the same line, therefore

COA + AOE + EOD = 180°.

84° + 75° + y = 180°.

159° + y = 180°.

y = 180° - 159°

21°.

Since AB and CD intersect at O, therefore

BOD = AOC

z = 84°.

Now, OC and OD are in the same line, therefore

COB + BOD = 180°

2x + z = 180°.

2x + 84° = 180°.

2x = 96°.

x = 96° ÷ 2

48°.

Hence, x = 48° , y = 21° and z = 84°.