Question

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Answer 1

X = 5º

Z = 70º

Explanation:

So we know that vertical angles are congruent. So what we do to figure out x is set the equation equal to 110º because we are given that. And then we solve for x.

(13x + 45) = 110

13x + 45 = 110

-45 -45

----------------------

13x = 65

÷13 ÷13

---------------

x = 5

Now, we plug x into the equation. (13x5 + 45) = 110 so we know that x = 5

Now, we also know that a straight line equals 180º so what we do is subtract 110 from 180.

180 - 110= 70º

z = 70º

Answer 2

x = 5 ; z = 70

Explanation:

Vertical angles have the same degree measure

(13x + 45) = 110

13x + 45 = 110

-45 -45

13x = 65

/13 /13

x = 5

Complementary angles add up to 180°

110 + z = 180

-110 -110

z = 70