If the measure of angle AXC =8x-7 and the measure of angle AXB=3x+10 what is the measure of angle AXC?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Answer:

<AXC = 101 degrees.

Step-by-step explanation:

The question says that XB is a bisector which means that <AXB = 1/2 of AXC

You can't do the question if that assumption isn't true.

<AXC = 8x - 7

<AXB = 3x + 10

3x + 10 = 1/2 ( 8x - 7) Multiply both sides by 2

2(3x + 10) = 8x - 7 Remove the brackets

6x + 20 = 8x - 7 Add 7 to both sides

6x + 20 + 7 = 8x Combine

6x + 27 = 8x Subtract 6x from both sides

27 = 8x - 6x Combine

27 = 2x Switch

2x = 27 Divide by 2

x = 27/2

x = 13.5

AXC = 8x - 7

AXC = 8*13.5 - 7

AXC = 108 -7

AXC = 101

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