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Find the value of x and z
please give correct answers
it's urgent​

Find the value of x and z please give correct answers it's urgent​-example-1
User Frntz
by
5.8k points

1 Answer

5 votes

Explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

User Jonathon Nordquist
by
7.1k points
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