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Geometry
If mZAOC = 31°, mZBOC = 2x + 10, and mZAOB = 4x - 15, find the degree measure of ZBOC and ZAOB.

The diagram is not to scale.

A step by step explanation would be greatly appreciate :(

Please Help Geometry If MZAOC 31 MZBOC 2x 10 And MZAOB 4x 15 Find The Degree Measure Of ZBOC And ZAOB The Diagram Is Not To Scale A Step By Step Explanation Wou class=

Sagot :

Answer:

The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

Step-by-step explanation:

Given that,

∠AOC = 31°

∠BOC = 2x+10

∠AOB = 4x-15

As we can seen from the figure that,

∠AOC = ∠AOB + ∠BOC

Put all the values,

31 = 4x-15+2x+10

31 = 6x-15

31+15 = 6x

46 = 6x

x = 7.7

∠BOC = 2(7.7)+10 = 25.4°

∠AOB = 4(7.7)-15 = 15.8°

So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

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