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DENIUS [597]
3 years ago
10

50 POINTS! SHOW WORK OR ILL REPORT

Mathematics
2 answers:
Hatshy [7]3 years ago
6 0

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 :)

8_murik_8 [283]3 years ago
3 0
<h2>Answer:</h2>

<u>Let angle G be x, then angle K be 2x</u>

<u>We know that, sum of supplementary angle is 180°</u>.

So,

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

<u>Therefore, angle G measure 60° and angle K measure 120°</u>.

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