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50 POINTS! SHOW WORK OR ILL REPORT

50 POINTS! SHOW WORK OR ILL REPORT-example-1

1 Answer

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Answer:

The larger angle <K, has a measure of 120 degrees.

Explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

User Binier
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