3 years ago

Angle A and angle B are supplementary angles. If m angle A = (5x+2) and m angle B = (8x+9) , then find the measure of angle B

1 answer:

8 0

You first identify what supplementary angles are,angles that add up to 180.
5x+2+8x+9=180
17x+11=180-11
17x=169
x=169divided by 17
x=9.9411
x=10 when rounded into the next value
8x*10=80+989

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In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.

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The length of PN is 2.63 feet

<u>Explanation:</u>

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Given:

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We know:

$tan \alpha = \frac{perpendicular}{base}$

$tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet$

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