Angles

8 Grade 6 Mathematics questions on Angles, with worked marking schemes. 8 questions are available on this topic in full.

1. Question 1

   1 mark

   Two angles are supplementary. One is 115°. What is the other?

   A. 245°

   B. 65°

   C. 115°

   D. 75°

   (1 mark)

   Marking scheme

   B. $65^{\circ }$ — supplementary angles make a straight line, totalling $180^{\circ }$, so the other is $180-115=65$. A uses $360$, which applies to angles round a point, not on a line.

2. Question 2

   1 mark

   Each angle of a regular hexagon measures:

   A. 60°

   B. 108°

   C. 90°

   D. 120°

   (1 mark)

   Marking scheme

   D. $120^{\circ }$ — the interior angles total $(6-2)\times 180=720$, shared equally between six: $720÷6=120$. B is a pentagon's interior angle and A is the hexagon's exterior angle.

3. Question 3

   1 mark

   An isosceles triangle has one angle of 40°. It is between the equal sides. What are the other two angles?

   A. 40° each

   B. 70° each

   C. 60° each

   D. 80° each

   (1 mark)

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4. Question 4

   1 mark

   What is the exterior angle of a regular pentagon?

   A. 72°

   B. 90°

   C. 108°

   D. 60°

   (1 mark)

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5. Question 5

   1 mark

   A triangle has angles 65° and 45°. What is the third angle?

   A. 80°

   B. 60°

   C. 70°

   D. 110°

   (1 mark)

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6. Question 6

   1 mark

   The sum of angles in a triangle is:

   A. 360°

   B. 90°

   C. 270°

   D. 180°

   (1 mark)

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7. Question 7

   1 mark

   An angle of 195° is classified as:

   A. Obtuse

   B. Straight

   C. Right

   D. Reflex

   (1 mark)

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8. Question 8

   1 mark

   The sum of angles in a quadrilateral is:

   A. 540°

   B. 270°

   C. 360°

   D. 180°

   (1 mark)

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