Work out the missing angle. The two angles are on a straight line; one angle is 127 degrees. Find the other angle.
(Total for Question 1 is 1 mark)
2
Work out the missing angle at a point. At a point three angles are 120 degrees, 95 degrees and x. Find x.
(Total for Question 2 is 1 mark)
3
Two straight lines cross. Work out the size of the angle vertically opposite to an angle of 52 degrees.
(Total for Question 3 is 1 mark)
4
Work out the missing angle. On a straight line the two adjacent angles are 46 degrees and x. Find x.
(Total for Question 4 is 1 mark)
5
Triangle ABC has angle A = 50 degrees and angle B = 60 degrees.
(a)Work out the size of angle C.(1)
(b)Give a reason for your answer to part (a).(1)
(Total for Question 5 is 2 marks)
6
The angles in a triangle are x, 2x and 3x. Work out the value of x.
(Total for Question 6 is 2 marks)
7
Triangle ABC is isosceles with AB = AC. Angle ABC = 42 degrees.
(a)Work out the size of angle A.(1)
(b)Give a reason for your answer to part (a).(1)
(Total for Question 7 is 2 marks)
8
Two straight lines cross. One angle is 128 degrees. Work out the size of the adjacent angle that forms a linear pair with the 128 degree angle.
(Total for Question 8 is 1 mark)
9
In triangle ABC an exterior angle at C is 110 degrees. Work out the sum of angles A and B.
(Total for Question 9 is 1 mark)
10
In triangle PQR the angles are 2x, 3x - 10 and 40 degrees. Work out x.
(Total for Question 10 is 2 marks)
11
In triangle ABC angle A is twice angle B and angle C = 30 degrees.
(Total for Question 11 is 3 marks)
12
The angles in a triangle are in the ratio 2: 3: 4. Work out the size of each angle.
(Total for Question 12 is 2 marks)
13
Two straight lines intersect. One angle is 3x + 10 degrees and the vertically opposite angle is 2x + 20 degrees. Work out the value of x and the size of the angle adjacent to 3x + 10.
(Total for Question 13 is 3 marks)
14
In triangle ABC the exterior angle at C is 2x + 20 degrees. The interior opposite angles are x + 10 and 3x - 5. Work out the value of x.
(Total for Question 14 is 3 marks)
Mark scheme · 2.10D Angles: Fluency and Exam Drill
Question 1
B1 53 degrees cao
Answer: 53 degrees
Question 2
B1 145 degrees cao
Answer: 145 degrees
Question 3
B1 52 degrees cao
Answer: 52 degrees
Question 4
B1 134 degrees cao
Answer: 134 degrees
Question 5
(a) B1 70 degrees cao
(a) Answer: 70 degrees
(b) B1 angles in a triangle sum to 180 degrees oe
(b) Answer: Angles in a triangle add to 180 degrees.
Question 6
M1 form x + 2x + 3x = 180 or 6x = 180 oe
A1 x = 30 degrees cao
Answer: 30 degrees
Question 7
(a) B1 96 degrees cao
(a) Answer: 96 degrees
(b) B1 base angles of an isosceles triangle are equal oe
(b) Answer: Base angles in an isosceles triangle are equal.
Question 8
B1 52 degrees cao
Answer: 52 degrees
Question 9
B1 110 degrees cao
Answer: 110 degrees
Question 10
M1 form 2x + (3x - 10) + 40 = 180 oe
A1 x = 30 degrees cao
Answer: 30 degrees
Question 11
M1 form 2x + x + 30 = 180 oe
M1 3x = 150 oe
A1 x = 50 and angles A = 100, B = 50 cao
Answer: Angle A = 100 degrees, Angle B = 50 degrees, Angle C = 30 degrees (x = 50 degrees).