Test
Angles
Angle calculation involves various operations such as addition, subtraction, multiplication, and division of angles. These calculations are often performed using trigonometric functions.
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Question 1out of 10
Find the angle AOB measuring clockwise.
Question 2out of 10
In the diagram, a rectangle is depicted. Find angle DOB, knowing that angle ADO is 53°.
Question 3out of 10
Triangle ABC is isosceles. Find angle CAB, knowing that angle ABC is 50°.
Question 4out of 10
Find angle ABD, knowing that angle ADC is 100°, and angle DAB is 67°.
Question 5out of 10
Triangle ABC is isosceles. Find angle ABC, knowing that angle CAB is 58°.
The base angles of an isosceles triangle are equal, and all angles of a triangle add up to 180°.
- Subtract the given vertex angle from 180°.
- Divide the remaining angle sum by 2 because the two base angles are equal.
Formula: required angle = (180° − vertex angle) ÷ 2.
Question 6out of 10
In the diagram, a rectangle is depicted. Find angle AOD, knowing that angle ADO is 64°.
Question 7out of 10
Triangle ABC is isosceles. Find angle ABC, knowing that angle CAB is 30°.
The base angles of an isosceles triangle are equal, and all angles of a triangle add up to 180°.
- Subtract the given vertex angle from 180°.
- Divide the remaining angle sum by 2 because the two base angles are equal.
Formula: required angle = (180° − vertex angle) ÷ 2.
Question 8out of 10
Find angle ABD, knowing that angle ADC is 101°, and angle DAB is 44°.
Question 9out of 10
In the diagram, a rectangle is depicted. Find angle DOB, knowing that angle ADO is 65°.
Question 10out of 10
In the diagram, a square is depicted. Find angle FEC.
Time left: 00:00:00
Sample questions
- Find the angle AOB measuring clockwise.
- Triangle ABC is isosceles. Find angle ABC, knowing that angle CAB is ___°.
- Triangle ABC is isosceles. Find angle CAB, knowing that angle ABC is ___°.
- Find angle ABD, knowing that angle ADC is ___°, and angle DAB is ___°.
- In the diagram, a rectangle is depicted. Find angle AOD, knowing that angle ADO is ___°.
Angle calculations
Angles on a straight line total 180°, angles around a point total 360°, and parts of a right angle total 90°. Identify the relationship shown before calculating.
Triangles and intersecting lines
The angles of a triangle total 180°, and vertically opposite angles formed by intersecting lines are equal. A diagram may not be to scale, so use labels and stated values.
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