Angle facts

The Maths Habit

Cut out any triangle. Tear off its three corners and put them together, points touching.
What do they make? Will it work for every triangle?

A straight line, whatever the triangle.

Vertically opposite
The angles across from each other where two straight lines cross.

180°Angles on a straight line 360°Angles around a point 180°Angles in a triangle =Vertically opposite angles are equal

Find the size of angle x.

Find the size of angle x.

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =75°

Find the size of angle x. Give a reason.

Reason: angles in a triangle add to 180°
Answerx =56°

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =75°

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =36°

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =75°

Find the size of angle x. Give a reason.

straight linearound a pointtriangleisosceles
Reasonangles on a straight line add to 180°
Answerx =77°

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =75°

Find the size of angle x. Give a reason.

Reasonangles around a point add to 360°
Answerx =80°

Find the size of angle x. Give a reason.

Reasonangles in a triangle add to 180°
Answerx =75°

Find the size of angle x. Give a reason.

Reasonvertically opposite angles are equal
Answerx =128°

Angle facts worksheet, page 1

Angle facts worksheet, page 2

Answer sheet

  1. Three angles around a point are all equal. How big is each one?

    120°
  2. Two angles make a straight line. One is four times the size of the other. Find both angles.

    36° and 144°

  1. Find angle x.

    x = 67°
    38°x75°
  2. Find angle x.

    x = 95°
    38°47°x
  3. Can a triangle have angles of 85°, 62° and 43°? Explain.

    No, they add to 190°
Exit tickets to print