Question

Each of the two equal angles of an isosceles triangle is half of third angle find the angles of a triangle

Answer 1

y=x/2

x+x+y = 180

x+x+x/2=180

2x+x/2=180

5x=180×2

x=360/5

x=72
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Answer 2

Question:

Each of the two equal angles of an isosceles triangle half the third angle. Find the angles of a triangle

Answer:

Equal angels  = 45°

And Third angle =90°

Explanation:

Let the equal angles of isosceles triangle be x

Since each of the two equal angles of an isosceles triangle are half the third angle.

∴Third angle will be 2x

By angle sum property

x+x+2x=180°

→ 4x=180°

→ x=$\frac{180^{\circ}}{4}=45^\circ$

∴Equal angels are x = 45°

And Third angle = 2x =2×45=90°

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