Question

ILL GIVE BRAINILEST: Write an equation for the triangle and solve the equation to find the value of the variable then find the angle measures

Answer 1

Explanation:

The sum of the interior angles of a triangle is equal to 180°. So from the figure, we can see that

`m + 2m + (m + 10) = 180`

Collecting all similar terms, we get

`4m + 10 = 180 \Rightarrow 4m = 170`

or

`m = 42.5°`

So the angle measures are now as follows:

`m = 42.5°`

`2m = 85°`

`m+ 10 = 52.5°`