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

Step-by-step 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:

$m = 42.5°$

$2m = 85°$

$m+ 10 = 52.5°$