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patriot [66]
3 years ago
5

How would I do this?? Will give brainiest

Mathematics
1 answer:
balandron [24]3 years ago
5 0

Answer:

x = 70°

Step-by-step explanation:

<em><u>I will assume solving the problem where 2 parallel lines are cut by a transversal that has an angle 110 and another angle x. Lets solve for x.</u></em>

When 2 parallel lines are cut by transversals, we have 4 pair of equal angles.

Now, looking at the figure,

The angle beside (adjacent) to the angle 110 is same as the angle x degrees.

These are corresponding angles, which are equal.

So, we have 110 degree angle and x degree angle adjacent to each other in a straight line. This is a straight angle.

A straight line (or, straight angle) creates 180 degrees. Thus, we can write:

110 + x = 180

Now, we solve for x:

110 + x = 180\\x=180-110\\x=70

So,

x = 70°

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