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Rasek [7]
2 years ago
11

PLEASE HELP VERY CONFUSED WILL MARK !!!BRAINLIEST!!!

Mathematics
1 answer:
Nonamiya [84]2 years ago
7 0

Answer:

  A = 122°

  B = 39°

  C = 19°

Step-by-step explanation:

You want to find the angle measures of a triangle from the given relations between the angles: A is 5 more than 3B, and C is 20 less than B.

<h3>Setup</h3>

The sum of the measures of angles in a triangle is 180°, so we have ...

  A +B +C = 180°

  (3B +5) +B +(B -20) = 180 . . . . . substitute the given relations to angle B

<h3>Solution</h3>

Simplifying, we get ...

  5B -15 = 180

  B -3 = 36

  B = 39

  A = 3B +5 = 3(39) +5 = 122

  C = B -10 = 39 -20 = 19

The measures of angles A, B, and C are 122°, 39°, and 19°, respectively.

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