- 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)
Watch the Step by Step Video Lesson View the Written Solution
#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)°
Watch the Step by Step Video Lesson View the Written Solution
#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)°
Watch the Step by Step Video Lesson View the Written Solution
#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°
Watch the Step by Step Video Lesson View the Written Solution
#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
Watch the Step by Step Video Lesson View the Written Solution
Written Solutions:
#1:
Solutions:
a) 50°
Watch the Step by Step Video Lesson
#2:
Solutions:
a) Measure of Angles 1, 4, 5, 8: 115°
Measure of Angles 2, 3, 6, 7: 65°
Watch the Step by Step Video Lesson
#3:
Solutions:
a) Measure of Angle 1: 75°
Measure of Angle 2: 55°
Measure of Angle 3: 50°
Watch the Step by Step Video Lesson
#4:
Solutions:
a) Measure of Angle A and Angle E is 120°
Measure of Angles B, C, D, and F is 30°
Watch the Step by Step Video Lesson
#5:
Solutions:
a) Side DF has length 2.4
Side FE has length 4