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33 votes
33 votes
Please help me with this, I need the answer by tomorrow.

Please help me with this, I need the answer by tomorrow.-example-1
User Vash
by
2.9k points

2 Answers

26 votes
26 votes

Answer:

x=3

Explanation:

since 67 and 23x-2 are congruent angles, you can set them equal to each other and solve ~OR~ since 5x+98 and 23x-2 are supplementary angles you can add them and have that equal to 180.

First Option:

67 = 23x-2

-2 -2

65=23x

/23 /23

3=x

Second Option:

5x+98 + 23x-2 = 180

combine like terms

28x+96=180

-96 -96

28x=84

/28 /28

x=3

User Shiami
by
3.2k points
27 votes
27 votes

Explanation:

First thing first we will use the alternate exterior angles theorem,

Since 67 and 23x-2 are alternate exterior angles, they are equal


67 = 23x - 2


69 = 23x


x = 3

User Thi
by
3.5k points