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UNO [17]
3 years ago
11

Help a b c or d with one

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Hello!

We know that angle AOC = 79 degrees, AOB = 4x - 15, and BOC = 2x+10. If you observe the picture, you can notice that the two other angles make up AOC.

Therefore, the measure of AOC = the measure of AOB + the measure of BOC. Now, we can create our equation with this info.

79 = (4x - 15) + (2x + 10)

Now, simplify.

79 = 4x - 15 + 2x + 10

79 = 6x - 5

84 = 6x

x = 14

Now, to find the individual degree measurements, substitute in 14 for x and solve.

AOB: 4x - 15 = 4(14) - 15 = 56 - 15 = 41 degrees

BOC: 2x + 10 = 2(14) + 10 = 28 + 10 = 38 degrees

Therefore, your answer is B, BOC = 38 degrees and AOB = 41 degrees.

Hope this helps!

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