Question

One angle of an isosceles triangle is $110°$,find the remaining two angles.

Answer 1

We know that, In an isosceles triangle, two angles are equal.

Let the equal angles be$‘x’$

Using angle sum property of a triangle, we get;

$$\begin{gathered} \Rightarrow 110+\mathrm{x}+\mathrm{x}=180 \\ \Rightarrow 110+2\mathrm{x}=180 \\ \Rightarrow 2\mathrm{x}=180-110 \\ \Rightarrow 2\mathrm{x}=70 \\ \therefore \mathrm{x}=35° \end{gathered}$$

Hence, the remaining two angles are $35°\text{and}35°$.