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Alexandra [31]
3 years ago
9

BRAINLIEST IF YOU ANSWER FAST AND CORRECT!!! ALSO 100 POINTS!

Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0

Sum of two interiors=exterior

\\ \rm\Rrightarrow m

\\ \rm\Rrightarrow 38+90=n

\\ \rm\Rrightarrow n=128°

Option B

inysia [295]3 years ago
4 0

Solution:

<u>We know that:</u>

  • \angle A = 38\°
  • \angle B = 90\°
  • \angle A + \angle B + \angle C = 180
  • \angle C + n = 180

Step by step calculations:

1. <u>Substitute the angles in the equation "∠A + ∠B + ∠C = 180" to find ∠C:</u>

  • \angle A + \angle B + \angle C = 180
  • => 38 + 90 + \angle C = 180
  • => 128 + \angle C = 180
  • => \angle C = 180 - 128
  • => \bold{\angle C = 52}

2. <u>Substitute ∠C in the equation "∠C + n = 180" to find n:</u>

  • \angle C + n = 180
  • => 52 + n = 180
  • => n = 180 - 52
  • => \bold{n = 128}
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