Question

50 POINTS! SHOW WORK OR ILL REPORT

Answer 1

Answer:

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

Step-by-step 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 :)

Answer 2

Answer:

Let angle G be x, then angle K be 2x

We know that, sum of supplementary angle is 180°.

So,

• x + 2x = 180
• 3x = 180
• x = 180/3 = 60.

Therefore, angle G measure 60° and angle K measure 120°.