In the given parallelogram ABCD, find the value of x and y.
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Given:-
- ∠A = (3y°)
- ∠B = (2y - 5)°
- ∠C = (3x + 3)°
To Find:-
Value of (x) and (y).
_________...
Here,
∠A + ∠B = 180° (Since they are adjacent angles)
According to the Question:-
∠A + ∠B = 180°
→ (3y°) + (2y - 5)° = 180°
→ 3y° + 2y° - 5° = 180°
→ 5y° = 180° + 5°
→ y° = 185°/5
→ y° = 37°
NOW, finding value of (x) :-
Also,
∠B + ∠C = 180° (Since they are adjacent angles)
So,
(2y - 5)° + (3x + 3)° = 180°
→ [2(37) - 5]° + (3x + 3)° = 180°
→ [74 - 5]° + 3x° + 3° = 180°
→ 69° + 3° + 3x° = 180°
→ 72° + 3x° = 180°
→ 3x° = 180° - 72° = 108°
→ x° = 108°/3
→ x° = 36°
∴ x = 36°
& y = 37°.
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