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jasenka [17]
3 years ago
8

What is the sum of the measures of the exterior angles of this triangle?

Mathematics
2 answers:
fgiga [73]3 years ago
6 0

Answer:

360°

Step-by-step explanation:

We need only remember that the sum of the measures of the interior angles of a triangle is 180°.  Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.

With two of the interior angles now known, we can calculate the third, Angle A:  It is 180° less (51° +  68°), or 180° - 119°, or 61°.

That means that the measure of Angle B is 180° - 61° = 119°

Looking at the pair C and 112°, we identify the exterior angle as 112°.

Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.

Finally, looking at the pair 51° and (180° - 51°), or

51° and 129°, we identify the exterior angle as 129°.

Then the sum of the exterior angles 129° and 119° and 112° is 360°.

madreJ [45]3 years ago
6 0

Answer:

The answer is 360 degrees

Explanation:

I took the test on E d g e n u i t y and it was correct but only because of the other awesome person who answered, so (give them brainliest, not me) I just wanted to confirm

have a greatastic rest of your day!! \(^u^\)

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