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Rasek [7]
3 years ago
13

The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each

angle. which shows the equation tina could have written and the angle measures she could have found?
Mathematics
1 answer:
pogonyaev3 years ago
5 0
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees. 
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To solve this we need to form 2 equations with only 2 variables.

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Please help! Thank you
Vanyuwa [196]

Answer:

x = 82°

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draw a diameter down from point B to the opposite side of the circle, call that point P:

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(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

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