Question

Two angle of a triangle are equal and the third angle is greater than each of these angles by 30°. Find the measures of all the angles of the triangle

Answer 1

Let the two equal angles be x°.

Then, the third angke will (x+30)°.

We know that sum of three angles of a triangle is 180°.

So, the equation formed is

2x+x+30° = 180°

On solving the equation, we will get x as 50°.

So, two equal angles of the triangle are 50° and the third angle is 80°.

Hope it helps.

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