Question

One angle of an isosceles triangle is equal to the sum of the
other two angles. Find all the angles.

Answer 1

Answer:

Let the other two angles be x.

Therefore, first angle = x + x

2x

A.C.Q:

2x + x + x = 180

4x = 180

x = 45.

Hence, measure of all the three angles is 45, 45 and 90.

Answer 2

Answer:

It will be isosceles right angle.

In ∆ ABC , Angle B = x .Angle C is also x (angle b=angle c because two side of isosceles triangle are equal therefore corresponding angle are also equal)

Then as given Angle A is sum of other two .

therefore,

angle A = angle B + angle C

angle A = x + x

angle A = 2x

Now,

measure of traingle is 180°

therefore

Angle A + Angle B + Angle C = 180°

2x + x + x = 180°

4x = 180°

x = 45 °

Therefore angle A = 90°

angle B & C = 45°

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