New
New
Year 8

Using the sum of the interior angles of a triangle

I can use the fact that the interior angles of any triangle sum to 180° to find the size of missing angles.

New
New
Year 8

Using the sum of the interior angles of a triangle

I can use the fact that the interior angles of any triangle sum to 180° to find the size of missing angles.

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Lesson details

Key learning points

  1. Missing angles in triangles can be found using the angle sum.
  2. Missing angles in triangles can be found using the angle sum and other triangle properties.

Common misconception

Assuming triangles are certain types because of how they look.

Unless there is notation or it has stated the type of triangle you cannot assume.

Keywords

  • Interior angle - an angle formed inside a polygon by two of its edges.

  • Sum - the total when numbers are added together.

Pupils could create their own problems for peers. They may wish to look at combining triangles to make the problems more challenging.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
The sum of 241, 68 and 192 is .
Correct Answer: 501, five hundred and one
Q2.
Simplify the following expression $$3x+5y-2x+9y+3x+12$$.
$$8x+14y+12$$
$$8x-14y+12$$
Correct answer: $$4x+14y+12$$
$$4x-14y+12$$
$$18xy+12$$
Q3.
A triangle DEF, where DE = 23 cm, DF = 23 cm and angle EDF is 45° is __________ triangle.
a scalene
Correct answer: an isosceles
an equilateral
a right-angled scalene
a right-angled isosceles
Q4.
Solve $$29=54-2x$$
Correct answer: $$x=12.5$$
$$x=-12.5$$
$$x=41.5$$
$$x=83$$
$$x=25$$
Q5.
Which of these are correct for the size of the angle marked $$n$$?
An image in a quiz
$$n=28$$
Correct answer: $$n=180-(28+131)$$
$$n=131$$
Correct answer: $$n=180-28-131$$
Q6.
Select the statements that best complete the following sentence. By tearing the corners off of a triangle and arranging them together at a point it you have...
An image in a quiz
Correct answer: ...shown that the three angles in a triangle sum to 180°.
Correct answer: ...demonstrated that the three angles in a triangle sum to 180°.
...proved that the three angles in a triangle sum to 180°.

6 Questions

Q1.
The size of the angle $$x$$° is °.
An image in a quiz
Correct Answer: 38, thirty eight, 38°
Q2.
Match the two angles of a triangle with its third angle.
Correct Answer:60°, 60°,60°

60°

Correct Answer:57°, 103°,20°

20°

Correct Answer:90°, 27°,63°

63°

Correct Answer:108°, 51°,21°

21°

Correct Answer:51°, 98°,31°

31°

Correct Answer:104°, 38°,38°

38°

Q3.
In which of these triangles is there enough information for you to calculate the size of the missing angle?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
The size of the angle $$x°$$ is °.
An image in a quiz
Correct Answer: 78, seventy eight
Q5.
Which of the following are calculations to find the value of $$y$$?
An image in a quiz
$$y=\frac{180+28}{2}$$
Correct answer: $$y=\frac{180-28}{2}$$
$$2y=\frac{180-28}{2}$$
Correct answer: $$y=\frac{1}{2}(180-28)$$
Q6.
Work out the value of $$m$$.
An image in a quiz
10
Correct answer: 12
60
180