Question

I need help finding S please help fast

Answer 1

s = 89°

Explanation:

Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

`\therefore`

`\rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree`

Sum of angles in a straight line is equal to 180°

`\therefore`

`\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree`