The angles of a quadrilateral are in the ratio of 2:3:5:8. Find the angles of the quadrilateral.
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Given :-
- The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8.
To Find :-
- What are the angles of the quadrilateral.
Solution :-
Let, the first angles be 2x
Second angles be 3x
Third angles be 5x
And, the fourth angles will be 8x
As we know that,
★ Sum of angles of quadrilateral = 360° ★
According to the question by using the formula we get,
⇒
⇒
⇒
➠
Hence, the required angles are,
✧ First angles = 2x = 2(20°) = 40°
✧ Second angles = 3x = 3(20°) = 60°
✧ Third angles = 5x = 5(20°) = 100°
✧ Fourth angles = 8x = 8(20°) = 160°
The angles of a quadrilateral is 40°, 60°, 100° and 160°.
↦
By putting x = 20° we get,
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↦
➦ LHS = RHS
Hence, Verified ✔
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