In an isosceles triangle ABC, the measure of vertex angle A is 30° more than the measure of each base angle. Find the measure of each angle of the triangle
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Explanation:
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Let each base angle bex
in an isosceles△ABC
Then vertex angle be
2(x+
x)=
4x
Since sum of angles of a triangle is 180
o
.
Hence
4x+
x+
x=
180
o
⇒ 6x= 180
0
⇒ x= 30
0
∴Angles are30
o
,30
o
,120
o
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