Angles and Algebraic Relationship

This is what kind of angle?

• obtuse

• right

• straight

• acute

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

Given the following two parallel lines cut by a transversal. Which pair of angles represents alternate exterior angles?

Find the value of X

• 20

• 30

• 21

• 19

x = ?

• 5

• 15

• 12

• 10

Answer explanation

Start by solving for x.

Since all three angles lie on a straight line, the three angles must add up to 180.

We can then write the following equation to solve for x.

6x−10+4x+6+7x+14=180

Combine Like Terms

17x+10=180

17x=180-10

17x=170

x=170/17

x=10

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

• x = 13

  m∠RST = 155°

  m∠RSU = 102°

• x = 3

  m∠RST = 35°

  m∠RSU = 12°

• x = 22

  m∠RST = 263°

  m∠RSU = 183°

• x = 8

  m∠RST = 95°

  m∠RSU = 57°

• True

• False

Given the following two parallel lines that have been cut by a transversal. \angle1 and which angle make up Alternate Interior angles?

Given the following two parallel lines that have been cut by a transversal. Choose all the options that represent corresponding angles.