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Ludmilka [50]
3 years ago
8

Two supplementary angles are in the ratio 3 1 : 5 find both angles​

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

The two angles are 155 degrees and 25 degrees

<h3><u>Solution:</u></h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5

<em><u>Therefore the angles are:</u></em>

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

Thus the two angles are 155 degrees and 25 degrees

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