- 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)

Angle A is (12x - 12)°

Angle F is (5x - 25)°

Angle C is 30°

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#5:

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

a)

Side AB has length of 2.5

Side AC has length of 1.5

Side CB has length of 2.5

Side DE has length of 4

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Written Solutions:

#1:

Solutions:

a) 50°

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#2:

Solutions:

a) Measure of Angles 1, 4, 5, 8: 115°

Measure of Angles 2, 3, 6, 7: 65°

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#3:

Solutions:

a) Measure of Angle 1: 75°

Measure of Angle 2: 55°

Measure of Angle 3: 50°

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#4:

Solutions:

a) Measure of Angle A and Angle E is 120°

Measure of Angles B, C, D, and F is 30°

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#5:

Solutions:

a) Side DF has length 2.4

Side FE has length 4