Question

A base angle of an isosceles triangle measures 50°. Find the number of degrees in the measure of the vertex angle.

Answer 1

Both vertex angles will be same as its an isosceles triangle

Let each be x

According to angle sum property

`\\ \sf \longmapsto x+x+50=180`

`\\ \sf \longmapsto 2x+50=180`

`\\ \sf \longmapsto 2x=180-50`

`\\ \sf \longmapsto 2x=130`

`\\ \sf \longmapsto x=(130)/(2)`

`\\ \sf \longmapsto x=60°`