- Demonstrate the ability to find unknown angle measures
- Demonstrate the ability to find unknown side lengths in similar triangles

#1:

Instructions: m and n are parallel lines. Find the measure of the two marked angles.

a)

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#2:

Instructions: m and n are parallel lines. Find the measure of all 8 angles.

a)

The measure of angle 1 is (-15x + 70)°

The measure of angle 7 is (13x + 104)°

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#3:

Instructions: Find the measure of all 3 angles.

a)

The measure of angle 1 is (2x + 25)°

The measure of angle 2 is (3x - 20)°

The measure of angle 3 is (6x - 100)°

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#4:

Instructions: Find all unknown angle measures in each pair of similar triangles.

a) Triangles ABC and EFD are similar.

The measure of angle A is (12x - 12)°

The measure of angle F is (5x - 25)°

The measure of angle C is 30°

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#5:

Instructions: Find the lengths of all unknown sides for the similar triangles.

a) Triangles ABC and DEF are similar.

Side AB has length 2.5

Side AC has length 1.5

Side BC has length 2.5

Side DE has length 4

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Written Solutions:

#1:

Solutions:

a) The measure of both angles is 50°

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#2:

Solutions:

a) The measure of Angles 1, 4, 5, 8 is 115°

The measure of Angles 2, 3, 6, 7 is 65°

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#3:

Solutions:

a) The measure of Angle 1 is 75°

The measure of Angle 2 is 55°

The measure of Angle 3 is 50°

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#4:

Solutions:

a) The measure of Angle A and Angle E is 120°

The measure of Angles B, C, D, and F is 30°

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#5:

Solutions:

a) Side DF has length 2.4

Side EF has length 4