Question

two angle of a triangle are equal and the third angle is greater than each of this angles by 60 degree. detrimen all the angle of the triangle

Answer 1

Given :-

Two angle of a triangle are equal and the third angle is greater than each of this angles by 60 degree. determine all the angles of the triangle.

Assumption :-

Let the two angles be $x°$ and the third angle be $(60+x)°$

Solution :-

As we know that the sum of all angles in a triangle is 180°.

$\implies{x + 60 + x = 180°}$

$\implies{2x = 180 - 60}$

$\implies{x = \frac{120}{2}}$

$\bold{\implies{x = 60°}}$

Now, the third angle:

$\implies{x + 60}$

$\implies{60 + 60}$

$\bf{\implies{120°}}$

Hence, the two angles are 60° and the third angle is 120°

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Thanks!