In an isoscales triangle one angle is 76°. If the other two angles ar

1.	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°.

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°.