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Find the measures of the interior angles of the triangle. Find A, B,C

Find the measures of the interior angles of the triangle. Find A, B,C-example-1

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10 votes

Answer:

A 48 degrees B 88 degrees C 44 degrees

Explanation:

All the sides of a triangle add up to 180 degrees.

Subtract the known side from 180. 180-48=132 degrees. That means 132 degrees is the total size of the unknown two angles. You can write that like this:

132=x+(x-44)

Simplify

132=2x-44

add 44

176=2x

Divide by 2

x = 88 degrees.

Now we know that angle B is 88 degrees. Now we just have to find angle C, which will be simple now that we know what x equals.

X-44

88-44

44 degrees

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