Question

An Isosceles triangle has two equal angles as ${46}^{\circ }$ each. What is the third angle?

Answer 1

Calculation of unknown angle of triangle

According to “Angle sum property of triangle”, “The sum of all the angles in a triangle is always equal to ${180}^{\circ }$”

Let the third angle be $x$.

Now,

$$\begin{gathered} \Rightarrow {46}^{\circ }+{46}^{\circ }+x={180}^{\circ } \\ \Rightarrow {92}^{\circ }+x={180}^{\circ } \\ \Rightarrow x={180}^{\circ }-{92}^{\circ } \\ \Rightarrow x={88}^{\circ } \end{gathered}$$

Final Answer: Hence, the third angle of an isosceles triangle is ${88}^{\circ }$