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disa [49]
3 years ago
10

HELP pleaseee i’m beggingggg

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

  1. 35 1/3°
  2. 54 2/3°

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

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