The angles of a quarilateral are in A.P. and the greatest angle is double the least . Find angles of the quadrilateral in radian
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Answer:
Step-by-step explanation:
Answer:-
least angle = π/3
Given :-
The angles of quadrilateral are in AP.
Greatest angle is double the least.
To express :-
The least angle is radians.
Solution:-
Let the angles in AP be a+2d , a - 2d , a + d and a - d.
A/Q
→
→
→
→
Now,
→
→
→
→
→
→
→
Hence,
The four angle of a quadrilateral in A. P will be :-
→a - 2d
= 90 - 2 × 15
=90 - 30
= 60°
→a - d
= 90 - 15
= 75°
→a + d
= 90 + 15
= 105°
→a + 2d
= 90 + 2 × 15
= 90 + 30
= 120°
Least angle in radian is = 60°
→
→
hence,
The least angle is radian is π/3.
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