The interior angles of a triangle add to 180° and a right angle measures 90°, two angle facts that underpin nearly every question on this Year 7 shape sheet. Answers in the key also include 360°, an obtuse-angle identification, and a pentagon count of 5.
Key Takeaways
The sum of the interior angles of a triangle is 180° (Q1).
A right angle measures 90° (Q2).
The key also records a 360° result and an obtuse angle answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.What is the sum of the interior angles of a triangle?
(a) 180°(b) 90°(c) 360°(d) 270°
2.A right angle measures how many degrees?
(a) 45°(b) 90°(c) 180°(d) 60°
3.What is the sum of the interior angles of a quadrilateral?
(a) 180°(b) 360°(c) 540°(d) 270°
4.An angle of 130° is called a/an...
(a) acute angle(b) right angle(c) obtuse angle(d) reflex angle
5.How many sides does a pentagon have?
(a) 4(b) 5(c) 6(d) 7
6.Two angles of an isosceles triangle are each 70°. What is the size of the third angle?
(a) 40°(b) 60°(c) 90°(d) 110°
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.State the sum of the interior angles of a triangle.
8.An angle measures 245°. What type of angle is it?
9.How many lines of symmetry does a square have?
10.Two angles of a triangle are 50° and 60°. Find the size of the third angle.
11.Name the quadrilateral that has exactly one pair of parallel sides.
12.A right-angled triangle has one angle of 35°. Find the size of the other acute angle.
13.How many degrees are there in half a full turn?
14.Write down the angle that is supplementary to 75°.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Three angles of a quadrilateral are 100°, 85° and 95°. Find the size of the fourth angle.
16.The angles of a triangle are x, x + 20 and 2x. Find the value of x and the size of the largest angle.
17.A regular pentagon has all sides and all angles equal. Find the size of each interior angle.
18.The hour hand of a clock moves through 30° in one hour. How many degrees does it move in 4 hours?
19.An isosceles triangle has a vertex angle of 40°. Find the size of each base angle.
20.One angle of a parallelogram is 60°. Find the size of each of the other three angles.
Answer Key
1. a) 180°
2. b) 90°
3. b) 360°
4. c) obtuse angle
5. b) 5
6. a) 40°
7. Refer to solution guide.
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End of Worksheet
People Also Ask
What is the sum of the interior angles of a triangle?
180°, option (a) in this worksheet (Q1).
How many degrees is a right angle?
90°, option (b) in this worksheet (Q2).
How many sides does a pentagon have?
5, from the answer key on this page.
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