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katrin [286]
3 years ago
14

Two supplementary angles are in the ratio of 31:5 find angles​

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

The angles are <u>155°</u> and <u>25°</u>.

Step-by-step explanation:

Given:

Two supplementary angles are in the ratio of 31:5.

Now, to find the angles.

The sum of two supplementary angles = 180°

Let the ratio of the angles be 31x\ and\ 5x.

So, according to question:

31x+5x=180\°

36x=180\°

<em>Dividing both sides by 36 we get:</em>

x=5

So, 31x=31\times 5=155\°.

And, 5x=5\times 5=25\°.

Therefore, the angles are 155° and 25°.

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