Worksheet: Measuring Angles

In this worksheet, we will practice using a protractor to find the measures of angles in degrees and classifying them to acute, right, obtuse, or straight based on their measures.

Q1:

What is 𝑚𝐵𝐴𝐶?

Q2:

What is measured using a protractor?

  • Alength
  • Bweight
  • Cangles

Q3:

Which of the following statements correctly defines an angle?

  • AAn angle is the point where two rays intersect.
  • BAn angle is the figure formed by two rays with a common end point.
  • CAn angle is the part of a straight line beginning at a given point and extending limitlessly in one direction.
  • DAn angle is the part of a line that connects two points.
  • EAn angle is the part of a straight line beginning at a given point and extending in one direction to a predetermined length.

Q4:

Which of these is a unit used to measure an angle?

  • Agrams
  • Bcentimetres
  • Cdegrees
  • Dmetres

Q5:

Read off 𝑚𝐵𝐴𝐶 from the figure below.

Q6:

Jacob and Amelia are measuring angles. Which of the two is correct?

  • AAmelia
  • BJacob

Q7:

What is the measure of the angle traced in 20 minutes by the minute hand of a clock?

Q8:

What is another name for 𝑋𝑌𝑈?

  • A 𝑍 𝑌 𝑈
  • B 𝑈 𝑌 𝑋
  • C 𝑌 𝑈 𝑋
  • D 𝑍 𝑌 𝑋
  • E 𝑌 𝑋 𝑈

Q9:

Name the sides of 1.

  • A 𝑋 𝑌 , 𝑋 𝑈
  • B 𝑋 𝑈 , 𝑊 𝑋
  • C 𝑌 𝑍 , 𝑌 𝑈
  • D 𝑋 𝑊 , 𝑋 𝑍
  • E 𝑋 𝑌 , 𝑌 𝑈

Q10:

What is another name for 𝑏?

  • A 𝑌 𝑋 𝑈
  • B 𝑍 𝑌 𝑋
  • C 𝑍 𝑌 𝑈
  • D 𝑈 𝑌 𝑋
  • E 𝑌 𝑈 𝑋

Q11:

What is the vertex of 3?

  • A 𝑋
  • B 𝑍
  • C 𝑌
  • D 𝑊
  • E 𝑈

Q12:

What is the vertex of 2?

  • A 𝑍
  • B 𝑌
  • C 𝑋
  • D 𝑈
  • E 𝑊

Q13:

Olivia started working on her homework at noon. Since then, the minute hand has moved 150. What time is it now?

  • A12:25 pm
  • B12:30 pm
  • C12:00 pm
  • D12:35 pm

Q14:

Name the angle formed by 𝐹𝐴 and 𝐹𝐶.

  • A 𝐴 𝐹 𝐶
  • B 𝐴 𝐹 𝐷
  • C 𝐴 𝐹 𝐸

Q15:

Is 𝐴, , or 𝐸𝐵𝐶?

  • A
  • B
  • C
  • D

Q16:

Which point is the vertex of 𝐴𝐵𝐶?

  • A 𝐶
  • B 𝐵
  • C 𝐴

Q17:

Complete the following using <, =, or >: 𝑚𝐴𝐵𝐶𝑚𝑋𝑌𝑍.

  • A =
  • B <
  • C >

Q18:

What is the vertex of 1?

  • A 𝑊
  • B 𝑌
  • C 𝑈
  • D 𝑋
  • E 𝑍

Q19:

What is the vertex of 4?

  • A 𝑍
  • B 𝑌
  • C 𝑋
  • D 𝑈
  • E 𝑊

Q20:

Name the sides of 4.

  • A 𝑋 𝑈 , 𝑊 𝑋
  • B 𝑌 𝑍 , 𝑌 𝑈
  • C 𝑋 𝑌 , 𝑋 𝑊
  • D 𝑈 𝑌 , 𝑈 𝑋
  • E 𝑊 𝑋 , 𝑌 𝑈

Q21:

Name the angle formed by 𝐹𝐶 and 𝐹𝐵.

  • A 𝐵 𝐹 𝐸
  • B 𝐵 𝐹 𝐷
  • C 𝐵 𝐹 𝐶

Q22:

Name the sides of 2.

  • A 𝑌 𝑋 , 𝑌 𝑈
  • B 𝑋 𝑈 , 𝑊 𝑋
  • C 𝑌 𝑍 , 𝑌 𝑈
  • D 𝑌 𝑋 , 𝑋 𝑈
  • E 𝑋 𝑊 , 𝑋 𝑌

Q23:

What is 𝑚𝐵𝐴𝐶?

Q24:

What is 𝑚𝐹𝐴𝐸?

Q25:

Read off 𝑚𝐵𝐴𝐶 from the figure below.