Question

Find the value of x.

Answer 1

30

Explanation:

<A=90°(opposite Angles)

➜2x+x+90=180

➜3x+90=180

➜3x=180-90

➜3x=90

➜x=90/3

➜x=30

Answer 2

Question :-

Find the value of x.

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Solution :-

Given Information :-

• ∠FAE = 90°
• ∠GAB = 2x°
• ∠BAC = ∠A
• ∠CAD = x°

To Find :-

• The value of x.

Calculation :-

• First of all, Finding ∠BAC

⇒ ∠BAC = ∠FAE (Reason :- Vertically Opposite Angles)

⇒ ∠BAC = 90°

• Now, Finding the value of x

⇒ ∠GAB + ∠BAC + ∠CAD = 180° (Reason :- Angles on a Straight Line equals to 180°)

Substituting the given values, We get,

⇒ 2x + 90° + x = 180°

⇒ 3x + 90° = 180°

Transposing 90° to Right Hand Side, We get,

⇒ 3x = 180° - 90°

⇒ 3x = 90°

Transposing 3 to Right Hand Side, We get,

⇒ x =
`\sf{( (90)/(3)) }\degree`

Calculating further, We get,

⇒ x = 30°

∴ x = 30°

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Final Answer :-

• The value of x is 30°

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