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3 years ago

6

Find the measure of BAD

1 answer:

lyudmila [28]3 years ago

4 0

Answer:

22.5°

Step-by-step explanation:

The <em>inscribed angle theorem </em>tells us that the measure of an inscribed angle is half of the central angle swept out by the same arc. Here, the arc BD sweeps out a central angle of 45°, so the measure of angle BAD must be half that, or 45/2 = 22.5°

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we know that

Step 1

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so

$99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees$

Step 2

Find the value of m∠PSQ

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m∠PSQ= $(3*9+18)$

m∠PSQ= $45$ °

therefore

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