Question

find the x value in the following figure​

Answer 1

Answer:

x = 20°

Step-by-step explanation:

Hii Mate ✌

In given fig,

In ΔCOD,

CO = CD

∠CDO = ∠COD (Angles opposite to equal sides are equal.)

Let ∠CDO = ∠COD = y

So, in ΔCOD,

∠CDO + ∠COD + ∠ODC = 180°

=> y + y + 2x = 180°

=> 2y +2x = 180°

=> 2(y+x)=180°

=> y+x = 90°

=> y = 90°-x

Also,

∠COD = ∠AOB = 90°-x (Vertically Opposite Angles are equal.).....(1)

In ΔAOB,

AB = AO

So,

∠ABO = ∠AOB (Angles opposite to equal sides are equal.)....(2)

From (1) and (2), we get

∠ABO = ∠AOB

=> 3x+10° = 90°-x

=> 3x+x = 90°-10°

=> 4x = 80°

=> x = 20°

100% CORRECT ✔️✔️

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