Question

Question #9fef4

Answer 1

Thus, the angles in a triangle are
Vertical angle `A=36`
Base angle `B=72`each

Explanation:

Let the vertical angle be `A`
Let the base angle be `B` each
Sum of its base angles `S=B+B=2B`
Given:`S=4A`
Substituting for `S`
`2B=4A`
Further, the sum of he angles in a triangle is `180`
`A+S=180`
`A+2B=180`
`A+4A=180`
`5A=180`
`A=180/5=36`

`36+S=180`
`S=180-36`
`S=144`
`2B=144`
`B=72`
Thus, the angles in a triangle are
Vertical angle `A=36`
Base angle `B=72`each