Question

A base angle of the isosceles triangle is represented by 3x+7 and the vertex by 12x+22. What are the angle measures

Answer 1

ANSWER


`31 \degree,31 \degree,118 \degree`

Step-by-step explanation

The given triangle is isosceles, with interior angles,


`(3x + 7),(3x + 7),(12x + 22)`

The sum of the interior angles is 180°


`(3x + 7) + (3x + 7) + (12x + 22) = 180`
Group like terms


`3x + 3x + 12x = 180 - 7 - 7 - 22`
Simplify;


`18x = 44`

Divide through by 18 to get,


`x = 8`

The angles are,


`(3 * 8+ 7),(3 * 8+ 7),(12 * 8 + 22)`


`(24+ 7),(24+ 7),(96 + 22)`


`31 \degree,31 \degree,118 \degree`