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2 years ago

Oof this is probably really simple to most of y'all but I'm out of it.

Mathematics

1 answer:

Lelechka [254]2 years ago

6 0

Answers:

angle1 = 156 degrees
angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

angle1 = 4x = 4*39 = 156 degrees
angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

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