Question

Find the measure of each angle of an isosceles triangle if the equal angle measures $15°$ greater than the third angle.

Answer 1

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

Let's take the equal angles of Isosceles triangle be $x$.

so the third angle will be $x+15°$

According to the angle sum property of triangle, the sum of all the angles will always be equal to $180°.$

So,

$$\begin{gathered} x+x+x+15°=180° \\ 3x=180°-15° \\ x=165°÷3 \\ x=55° \end{gathered}$$

The angles of isosceles triangle are-

$$\begin{gathered} x=55° \\ x+15°=55°+15°=70° \end{gathered}$$

Hence, all the angles of isosceles triangle are $55°,55°$ and $70°$.