Parts of an angle: name the vertex and the two sides (rays) of each angle, then name the angle
Naming and labeling angles: name each angle in several ways, like ∠ABC, ∠CBA, ∠B or ∠1. When angles share a vertex, students learn why they need three letters.
Types of angles (classifying angles): classify angles as acute, right, obtuse, straight or reflex, with a word bank
Estimating angles: circle the best estimate out of three choices without measuring, by comparing each angle with a right angle
Using a protractor:
Measuring angles with a protractor: read the angle on a protractor with inner and outer scales. On harder worksheets, neither ray is on 0°, so students read both rays and subtract, like 150° − 40° = 110°.
Drawing angles with a protractor: one ray is already drawn on the protractor, and students draw the second ray to make an angle like 65°
Angle relationships:
Complementary and supplementary angles: find the missing angle in a right angle or on a straight line, find the complement or supplement of a number, and decide whether two angles are complementary, supplementary, or neither
Adjacent angles and angle addition: like ∠ABC = 80° and ∠ABD = 35°, so ∠DBC = 45°
Vertical angles: two lines cross, one angle is given, and students find the other three
Angles on a straight line and around a point: angles on a line add up to 180°, and angles around a point add up to 360°
Angles in a triangle: find the missing angle, including right triangles and isosceles triangles with tick marks on the equal sides
Parallel lines and a transversal: use one angle to find others, or name angle pairs as corresponding, alternate interior, alternate exterior, same-side interior or vertical
Find x in angle problems: write and solve an equation, like (2x + 10)° + (3x − 5)° = 90°, then find each angle. This uses complementary, supplementary and vertical angles, and angles in a triangle.
Make each worksheet your own:
choose which types of angles to include: acute, right and obtuse only, or add straight angles, or add straight and reflex angles
show pictures only, pictures with the measure, measures only like 128°, or a mix
measure and draw angles to the nearest 10°, 5° or 1°
put one ray on 0° of the protractor (easier) or neither ray on 0° (harder)
for parallel lines, find the angle measures, name the angle pairs, or mix both
use easier expressions like x + 20, or harder ones like 3x − 10, in algebra problems
choose how many problems to include, from 4 to 20
colorful pictures, or turn the colors off to save ink
every worksheet comes with an answer key that shows the work, like 180° − 65° = 115°, with the second ray drawn in red on drawing worksheets