Question

Please help me almost done

Answer 1

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

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

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30