Question

In an icosceles 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

Answer 1

Answer:

angle b=angle c ( it is a icosceles triangle so 2 side are equal and angle opposite to equal sides are equal)

so, angle c=b=x

given that angle a is 30 more than the base angles so

a = 30+x

now by using angle some property

angle a+b+c =180°

(30+x)+x+x=180°

30+3x=180°

3x=180-30

x=150/3

x=50°

so,

angle a=30+50=80°

angle b=c=50°