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navik [9.2K]
3 years ago
6

Find m∠Y if m∠Y is six more than three times its supplement.

Mathematics
2 answers:
rjkz [21]3 years ago
5 0

Answer:

<h2>136.5°</h2>

Step-by-step explanation:

"m\angle Y is six more then three times its supplement".

Three times refers to multiply by 3, and six more implies and addition.

Supplement indicates that the sum of those angles is 180°.

So, the problem can be expressed as

m \angle Y=3(180-m\angle Y)+6

Solving for angle Y, we have

m \angle Y=540-3m\angle Y+6\\m \angle Y+3m \angle Y=546\\4m \angle Y=546\\m \angle Y=\frac{546}{4}=136.5

And the supplement is

180 - m\angle Y=180-136.5=43.5

Therefore, the angle is 136.5°.

Svetlanka [38]3 years ago
3 0
To answer this item, we let x be the measure of angle Y. If we say supplement, it is understood that when we sum up the measures of the two angles (angle Y and its supplement) the answer should be 180. Therefore the other angle is 180-x. Going back to the condition given in this item, we will be able to generate an equation,
                                         x = 3(180 - x)
The value of x from the equation is 135. Thus, m∠Y is 135°.
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