The angles of a quadrilateral are in the ratio 3:6:7:8. Find the measure of all the angles.
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Angles of a quadrilateral are in the ratio 3:6:8:13. The largest angle is :
Medium
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Correct option is
C
156
∘
Given ratio of angles of quadrilateral ABCD is 3:6:8:13
Let the angles of quadrilateral ABCD be 3x,6x,8x,13x, respectively.
We know, by angle sum property, the sum of angles of a quadrilateral is 360
o
.
⇒3x+6x+8x+13x=360
o
⇒30x=360
o
⇒x=
12
360
o
∴x=12
o
.
∴∠A=3x=3×12
o
=36
o
,
∠B=6x=6×12
o
=72
o
,
∠C=8x=8×12
o
=96
o
and ∠D=13x=13×12
o
=156
o
.
∴ The largest angle =156
o
.
Step-by-step explanation:
its an example with 3:6:8:13 that I had done before
you can do the same with given values