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Mathematics for IGCSE & O level - Angles (Section 2)

1
Which of the following angles are always equal when two parallel lines are cut by a transversal?
Answer
A
B
2
Which of the following angles are formed when a transversal intersects two parallel lines?
Answer
A
B
C
3
What is the sum of the angles around a point?
Answer
(D)
360°
4
If a regular polygon has 9 sides, how many degrees are in each exterior angle?
Answer
(B)
40°
5
What is the definition of supplementary angles?
Answer
(B)
Angles that add up to 180 degrees.
6
What is the relationship between co-interior angles (also known as same-side interior angles) formed by a transversal and two parallel lines?
Answer
(B)
They are supplementary.
7
If two lines intersect and form an angle of 90 degrees, what can we say about the lines?
Answer
(B)
They are perpendicular.
8
Which of the following statements is true for corresponding angles?
Answer
(B)
They are congruent
9
Which of the following angles add up to 180 degrees?
Answer
B
C
10
Which of the following statements is true about a square?
Answer
A
B
11
What is the definition of a polygon?
Answer
(A)
A closed figure with three or more sides.
12
Which of the following describes an obtuse triangle?
Answer
(C)
One angle is greater than 90 degrees.
13
What do we know about the opposite angles in a parallelogram?
Answer
(C)
They are equal
14
What is the measure of each angle in an equilateral triangle?
Answer
(C)
60°
15
Which shapes always add up to 360°?
Answer
A
C
16
What is the measure of a straight angle?
Answer
(B)
180°
17
What is the value of x, in the following image?
Answer
(B)
55°
18
What is the measure of each interior angle in a regular triangle?
Answer
(C)
60°
19
If a triangle has angles that measure 45° and 45°, what is the measure of the third angle?
Answer
(B)
90°
20
Which of these describe co-interior angles?
Answer
(D)
All of the above.
21
What's the number of sides of an Octagon?
Answer
(C)
8
22
What is always true about opposite angles created by intersecting lines?
Answer
(C)
They are equal
23
What is the definition of a right angle?
Answer
(B)
An angle exactly 90°.
24
Which of the following is true about the diagonals of a parallelogram?
Answer
(B)
They bisect each other.
25
If three lines intersect at a point, and two angles are 120° and 70°, what is the value of the third angle?
Answer
(B)
60°
26
Which of the following is not a property of a parallelogram?
Answer
(D)
All angles are right angles.
27
What is the measure of a reflex angle?
Answer
(C)
Between 180° and 360°
28
In a right-angled triangle, one angle is always:
Answer
(D)
90°
29
If two parallel lines are intersected by a transversal, which angles are congruent?
Answer
A
B
D
30
What type of angle is formed by two rays that share the same endpoint and is less than 90 degrees?
Answer
(C)
Acute
31
In a regular polygon, if the exterior angle is 36°, how many sides does the polygon have?
Answer
(B)
10
32
What's the value of 'x' if two angles in a triangle are 60° and 70°?
Answer
(A)
50°
33
What is the sum of the exterior angles of any polygon?
Answer
(D)
360°
34
In a right triangle, the two acute angles are always...
Answer
(B)
complementary
35
If two lines are parallel and are cut by a transversal, what is the relationship between alternate interior angles?
Answer
(C)
Congruent
36
When two lines cross, they form four angles. What type of angles are opposite each other?
Answer
(D)
Vertically opposite angles
37
What is the measure of an angle that is greater than 180 degrees but less than 360 degrees?
Answer
(C)
Reflex
38
What is the sum of the interior angles in a quadrilateral?
Answer
(D)
360°
39
What is the name for two angles whose measures add up to 90 degrees?
Answer
(B)
Complementary angles
40
If two parallel lines are cut by a transversal, which pair of angles are equal?
Answer
A
C
D
41
What is the sum of the exterior angles of a pentagon?
Answer
(B)
360°
42
In a triangle, two angles measure 40° and 60°. What is the measure of the third angle?
Answer
(C)
80°
43
What is the measure of a reflex angle?
Answer
(C)
Between 180 and 360 degrees
44
Two lines intersect. If one angle is 60°, what is the measure of its vertically opposite angle?
Answer
(B)
60°
45
What is the sum of the interior angles of a triangle?
Answer
(B)
180°
46
If two lines intersect, forming four angles. Two of these angles measure 45° and 135°. What can we say about the other two angles?
Answer
(B)
Both are 135°
47
What is a 90-degree angle called?
Answer
(C)
Right angle
48
What is the relationship between two angles that are on the same side of a transversal and inside two parallel lines?
Answer
(B)
They are supplementary.
49
In a triangle, the angles are in the ratio 1:2:3. What is the measure of the largest angle?
Answer
(C)
90°
50
Which shapes can have interior angles that add up to 360°?
Answer
(B)
Quadrilateral