Question

The angle measures of an isosceles triangle are shown. Find the value of w.

Answer 1

`w=7`

Explanation:

Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:

`62 +9w-1+8w=180` First combine like terms

`(62-1)+(9w+8w)=180`

`61+17w=180` Then subtract 61 from both sides.

`17w=180-61`

`17w=119` Now divide by 17

`w=119/17`

`w=7`