3 Geometry problems. Please help!

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

each side has a different length.  

step-by-step explanation: