3/24/26 Nonadjacent Angles

3/24/26 nonadjacent angles lesson 7.1.4

identify that the term vertical angles refers to a pair of angles created by two intersecting lines and that vertical angles have equal angle measures

use reasoning about angle measures to identify complementary or supplementary angles that are not adjacent

calculate angle measures using alternate interior, adjacent, vertical, and supplementary angles to solve problems

justify that alternate interior angles made by a transversal connecting two parallel lines are congruent

Vocabulary: alternate interior angles, transversal, vertical angles

Math Kit Materials: Math Notebook, protractor, ruler

Multiple Choice

What is the measure of angle JGH?

• 30°

• 60°

• 150°

• 180°

The shape of the intersection will determine the types of angles that are created.

maps have angles

2 angles whose measurements add up to 90 degrees.

​​complementary angles

2 angles whose measurements add up to 180 degrees.

​​supplementary angles

Perpendicular Lines meet at 90 degree angles.

Lines that don't create 90 degree angles are called intersecting lines.

Perpendicular and Intersecting lines

Opposite angles that share the same vertex.

Vertical Angles

Multiple Select

Which pairs of angles in the figure below are vertical angles?

Select the two correct answers.

• FJH and GJI

• KJG and FJI

• HJK and KJG

• FJI and HJG

A line that intersects two parallel lines, creating angle relationships.

Transversal

When two parallel lines are crossed by a transversal, the angles inside the parallel lines and on opposite sides are congruent.

Alternate Interior Angles

Categorize

Options (7)

b

d

f

a

c

e

g

The diagram shows two parallel lines cut by a transversal. One angle measure is shown. Find the values of a, b, c, d, e, f, and g.

3 go with 54°

4 go with 126°

54 degrees

126 degrees

Draw

The diagram shows three lines with some marked angle measures. Find the missing angle measures.

The lesson does say i-ready, but if you want to take a day off, totally understand.

That was a lot!!!