Angle Construction Challenge

Construct a 45° angle using a compass.

• Draw a circle with a compass and claim it's a 45° angle

• Use a protractor to measure a 45° angle directly

• Draw a line using a ruler, then use a compass to draw two intersecting arcs to create a 45° angle.

• Estimate the angle visually without using any tools

What is the sum of a 45° angle and a 60° angle?

• 95°

• 105°

• 120°

• 105°

Construct a 60° angle using a compass.

• Create a 60° angle by folding the paper.

• Use a compass to draw a straight line instead of arcs.

• Use a compass to draw two intersecting arcs to create a 60° angle.

• Estimate the angle visually without using a compass.

What is the complement of a 30° angle?

• 90°

• 120°

• 60°

• 45°

Construct a 90° angle using a compass.

• Extend the original line and estimate a 90° angle visually.

• Draw a circle with a radius equal to the length of the original line.

• Use a protractor to measure a 90° angle directly.

• Construct a perpendicular line from the endpoint of the original line to the intersection point of the two arcs.

What is the supplement of a 45° angle?

• 90°

• 135°

• 60°

• 180°

Construct a 30° angle using a compass.

• Use a protractor instead of a compass.

• Use a compass to draw two intersecting arcs to create a 30° angle.

• Draw a 45° angle and estimate the 30° angle from there.

• Create a 30° angle by eyeballing it without any tools.

What is the difference between a 90° angle and a 60° angle?

• 30°

• 45°

• 20°

• 70°

Construct the bisector of a 45° angle.

• Draw a line perpendicular to one side of the angle

• Draw two arcs from each side of the angle using a compass. Where the arcs intersect, draw a line through that point and the vertex of the angle.

• Use a protractor to measure the angle bisector

• Connect the midpoint of the angle to the vertex

What is the bisector of a 90° angle?

• 60° angle

• 45° angle

• 75° angle

• 30° angle