Math, asked by neharika212025, 1 month ago

find the value of x in the following figure...
Please Explain This Step-Step
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Answered by Salmonpanna2022
9

Answer:

Therefore,the value of x = 115°, y = 65° and z = 115°.

Step-by-step explanation:

Given that:

  • ∠AOD = 65°

To find:

  • ∠AOC,∠AOD and ∠COB that means x,y and Z

Solution:

Now, ∠AOD = ∠BOC

∴ ∠AOD = 65° $\left[{{Vertically}\hspace{0.33em}{opposit}\hspace{0.33em}{angle}}\right]$

Also ∠AOD+∠BOD = 180° $\left[{{Angle}\hspace{0.33em}{of}\hspace{0.33em}{a}\hspace{0.33em}{lines}\hspace{0.33em}{pair}}\right]$

∴65°+∠BOD = 180°

or ∠BOD = 180°-65°

∠BOD = 115°

Again, ∠BOD = ∠AOC $\left[{{Vertically}\hspace{0.33em}{opposit}\hspace{0.33em}{angles}}\right]$

°.° ∠BOD = 115°

.°. ∠AOC = 115°

Therefore,the value of x = 115°, y = 65° and z = 115° Ans.

 {}^{i \: hope \: its \: help \: you.}

Answered by shreya8600
3

Answer:

okk,I can understand dear,Ok post fast❣️

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