Question

DOES ANYONE KNOW HOW TO FIGURE THESE QUESTIONS OUT??
(Geometry) There are 3 questions!

Answer 1

1.

These are Corresponding Angles, and thus by the Corresponding Angles Theorem, they are congruent.

`4x-9=3x+29\\4x-9+9=3x+29+9\\4x=3x+38\\4x-3x=3x-3x+38\\x=38`

2.

These are Same-Side Interior Angles and thus by the Same-Side Interior Angles Theorem they add up to 180°.

`2x-26+7x+9=180\\9x-17=180\\9x-17+17=180+17\\9x=197\\9x/9=197/9\\x=21.9`

3.

These are Alternate Exterior Angles and thus by the Alternate Exterior Angles Theorem they are congruent.

`3x-2=2x+30\\3x-2+2=2x+30+2\\3x=2x+32\\3x-2x=2x-2x+32\\x=32`