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651.

In an isoscales triangle one angle is 76°. If the other two angles are equal, find them.

Answer»

In an isoscales triangle, angle opposite to equal sides are equal. 

Let the equal angles be x° and x°. 

In a triangle the sum of the three angles is 180°. 

x° + x° + 76° = 180° 

x°(1 + 1) = 180° – 76° 

= 104° 

2x = 104° 

x = \(\frac{104°}{2}\)

= 52°

x = 52° 

∴ Other two angles are 52° and 52°.