Triangles and Transversals

Solve for the missing variable.

• x = 60

• x = 50

• x = 34

• x = 20

Name the alternate exterior angle to angle 7.

• 8

• 2

• 1

• 3

Find the value of x.

• A

• B

• C

• D

Which statement is true?

• X + Y = Z

• X + Y = W

• X + Y + Z = W

• X + Y = 180

Answer explanation

The external angle is equal to the sum of the opposite 2 angles. This is true because the sum of all 3 angles within a triangle is 180 and the sum of an interior angle and its adjacent exterior angle is also 180.

What is the value of "x"?

• 109

• 19

• 180

• 71

Answer explanation

An exterior angle is equal to the measure of the sum of the 2 opposite interior angles

Vertical angles are ___.

• congruent

• supplementary

• complementary

• stacked

Answer explanation

across from one another diagonally about the vertex (intersection of the parallel line and transversal).

Corresponding angles are ___.

• supplementary

• congruent

• complementary

• not related

Answer explanation

1&5

3&6

2&8

4&7

These angles are in the same position around the vertex (parallel line crosses the transversal)

What is the value of "y" and the angles?

• y = 27

  angle = 134

• y = 134

  angle = 27

• y = 18.2

  angle = 107.6

• y = 17.8

  angle = 106.4

Angle "x" is a(n) ___ angle.

• interior

• exterior

• perfect

The angles highlighted in blue are ___ because ___.

• add up to 180; of vertical angles and corresponding angles

• congruent; they are both blue

• add up to 180; angles so far apart cannot be congruent.

• congruent; of vertical angles and corresponding angles