Question

In isosceles triangle if one angle is 100 degree then the other two angles are?

Answer 1

Answer:

40° and 40° because in Isosceles triangle only this can be

Answer 2

Answer:

Given :

$\sf{One \:angle \:of\: isosceles \:triangle = {100}^{\circ}}$

To find :

$\textsf{Other two angles of the isosceles triangle}$

Concept :

Isosceles triangle in which two angles of this triangle is same and and one triangle is not same .

Let , the other angles be x .

So , there is two angles to find . And the SUM of all angles of the triangle is 180° . So , the angles will form like this -:

$\sf{\boxed{x+x+{100}^{\circ}={180}^{\circ}}}$

Solution :

$:\implies\sf{x+x+{100}^{\circ}={180}^{\circ}}$

$:\implies\sf{2x+{100}^{\circ}={180}^{\circ}}$

$:\implies\sf{2x={180}^{\circ}-{100}^{\circ}}$

$:\implies\sf{2x={80}^{\circ}}$

$:\implies\sf{x=\dfrac{{80}^{\circ}}{2}}$

$:\implies\sf{x={40}^{\circ}}$

Answer :

So , the other two angles of the triangle is 40 ° . Because it's two angles are same degree .