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Korolek [52]
3 years ago
9

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

ngle measures

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0

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°

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