One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
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2
let the equal angles be x
three angles = 3 x
sum of all angles in quadrilateral is 360 degree
180+3x = 360
3x=360-180
x=180/3
x = 60
Three Equal angle are of 60degree.
Answered by
6
Answer :-
- Each of the equal angles are of 84°.
Given :-
- One angle of a quadrilateral is of 108° and the remaining three angles are equal.
To Find :-
- Each of the three equal angles.
Solution :-
Let each of the equal angles be x
As we know that the sum of all angles of a quadrilateral is 360°.
According to question :-
108° + x + x + x = 360°
→ 108° + 3x = 360°
→ 3x = 360° - 108°
→ 3x = 252°
→ x = 252°/3
→ x = 84°
Hence, each of the three equal angles are of 84°.
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