1.1.3 Measuring and Constructing Angles − Worksheet

Example 1: 1. Musicians use a metronome to keep time as they play. The metronome’s needle swings back and forth in a fixed amount of time. Name all of the angles in the diagram.

B

A

C

1 2

O

Example 2: Use the protractor to find the measure of each angle. Then classify each as acute, right, or obtuse. 2. ∠ VXW T

U

90

3. ∠ TXW

S

V

R

W

4. ∠ RXU

X

1

2

3

4

5

Example 3: L is in the interior of ∠ JKM. Find each of the following. 5. m ∠ JKM if m ∠ JKL = 42° and m ∠ LKM = 28°

6. m ∠ LKM if m ∠ JKL = 56.4° and m ∠ JKM = 82.5°

Example 4: BD bisects ∠ ABC . Find each of the following. 7. m ∠ ABD if m ∠ ABD = (6 x + 4)° and m ∠ DBC = (8 x − 4)°

8. m ∠ ABC if m ∠ ABD = (5 y − 3)° and m ∠ DBC = (3 y + 15)°

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