Question

The sum of the measures of the angles of all triangles is 180 degrees. If one angle of the triangle measures 45 degrees. The measure of the other 2 angles is equal. What is the measure of the other 2 angles? a. Write an equation and solve.how am I supposed to do this algebraicly? I have no idea what in supposed to do.

Answer 1

`\begin{gathered} Let´s\text{ say A, B and C are the angles} \\ \text{Hence} \\ A+B+C=180 \\ \text{But} \\ A=45 \\ \text{and} \\ B=C=\text{ x} \\ \text{Then} \\ 45+x+x=180 \\ 45+2x=180 \\ 2x=180-45 \\ 2x=135 \\ \text{Solving x} \\ x=(135)/(2) \\ x=67.5 \\ \text{Therefore} \\ \text{The measure of the other two angles is 67.5} \\ \end{gathered}`