Refresher on Geometry

Refresher on Solving with Lines and Angles

*set expressions equal to each other?

*total them to 180?

*total them to 90?

Given Parallel Lines, solve for q.

These angles are CORRESPONDING angles which are congruent

7q+4=3q+19

4q = 15

q = 3.75

Given Parallel Lines, solve for s.

These angles are SAME SIDE INTERIOR angles, so they total 180.

2s + 3s - 20 = 180

5s = 200

s = 40

Linear Pairs are 2 adjacent angles that form a straight angle

3x+5 + x+15 = 180

4x = 160

x = 40

y+20 + 4y-15 = 180

5y = 175

y = 35

Triangle Sum = 180

The m<BCA is 34 (linear pair)

5y+3 + 4y+8 + 34 = 180

9y = 135

y = 15

Multiple Choice

Solve for x.

• 15

• 16

• 18

• 19

Multiple Choice

Find the measure of the missing angle indicated.

• 139°

• 66°

• 138°

• 116°

Multiple Choice

Solve for x.

• 16
• 11
• 50
• 6

Fill in the Blanks

Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$  if  $m\angle8=76\degree$  ?

Multiple Choice

Find the value of x if the  $m\angle1\ =\ 11x\ -\ 9\degree$ and the  $m\angle5\ =\ 7x\ +9\degree$ .

• -4.5

• 4.5

• 1

• 0

Multiple Choice

Which of the following terms best describes Angle d? 

• Remote interior angle
• Corresponding angle
• Exterior angle
• Interior angle

Multiple Choice

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o