Question :-
Find the value of x.
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Solution :-
Given Information :-
- ∠FAE = 90°
- ∠GAB = 2x°
- ∠BAC = ∠A
- ∠CAD = x°
To Find :-
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 = [tex] \sf{( \frac{90}{3}) }\degree[/tex]
Calculating further, We get,
⇒ x = 30°
∴ x = 30°
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Final Answer :-
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