Question

In the diagram below of Triangle ABC AB=AC m

Answer 1

The triangle is an isoceles triangle because

`\begin{gathered} AB=AC \\ Therefore, \\ m\angle B=m\angle C \\ m\angle B=x+20 \\ m\angle C=x+20 \\ 180\text{ = m}\angle A+m\angle B+m\angle C \\ 180=3x+x+20+x+20 \\ 180=4x+40 \\ 180-40\text{ = 4x} \\ 140=4x \\ x=(140)/(4) \\ x=35 \end{gathered}`