Question

The measures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both angles.

Answer 1

Step-by-step explanation:

So, it is given that a pair of angles is supplementary,

Firstly, let the ratio be 5x : 1x,

Now, since the sum of both angles will be 180 degrees

therefore, 5x + 1x = 180

6x = 180,

therefore, x = 180/6

x = 30

Now angle 1 = 5x= 5×30 = 150 degrees

And angle 2 = 1×30 = 30 degrees

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Answer 2

Answer:

The smaller angle is 30 degrees and the second angle being twice as large is 60 degrees.

Explanation:

Let's call the smaller angle a.

Because the ratio of the angles is 5:1 the second, or larger angle is:5a.

And we know the sum of these two angles is 180 so we can write:

a+5a=180

6a=180

a=30

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