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

Question

asked Jan 5, 2022 69.4k views

1 Answer

Juraj Misur · Answer 1 · 2022-01-12T05:29:42+0000

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°