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jarptica [38.1K]
3 years ago
5

In the diagram, the measure of angle 5 is (10x - 9), and the measure of angle 7 is (9x)". What is the measure of angle

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

99/C

Step-by-step explanation:

I just did the test and it was right

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Please could I have some help :)
nirvana33 [79]

Answer:

a) x = 128 degrees

b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc.  Therefore angle APD = 128 degrees (and not 116 degrees)

Step-by-step explanation:

Given:

attached diagram

ABC is a straight line

Solution:

a) Find x

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angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.

x is the central angle of the arc APD

so angle ABD is the inscribed angle which equals half of the arc angle =>

angle ABD = x/2 = 64 degrees

Solve for x

x/2 = 64

x = 2*64

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b.

Angle APD is the arc angle, which is equal to the central angle x subtended by the arc.  Therefore angle APD = 128 degrees (and not 116 degrees)

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