Question

If two angles of a triangle are $102°$ and $56°$, what is the measure of the third angle?

Answer 1

Given: Two angle of the triangle are $102°$ and $56°$.

Let the third angle of a triangle is $\mathrm{a}$.

We know that the sum of the all interior angle of the triangle is $180°$.

Thus,

$$\begin{gathered} 102°+56°+\mathrm{a}=180° \\ \Rightarrow 158°+\mathrm{a}=180° \\ \Rightarrow \mathrm{a}=180°-158° \\ \Rightarrow \mathrm{a}=22° \end{gathered}$$

Hence, the third angle of the triangle is $22°$.