Lines and Angles quiz

The complement of 35 degrees is:

The supplement of 120 degrees is:

The sum of the angles of a linear pair is:

Vertically opposite angles are always:

An angle equal to its complement measures:

If two parallel lines are cut by a transversal, alternate interior angles are:

Interior angles on the same side of a transversal cutting two parallel lines add up to:

Which pair is complementary?

A line that intersects two or more lines at distinct points is called a:

The supplement of a right angle is:

Find the angle which is equal to its supplement. (2 marks)

Can two adjacent angles be complementary? Draw or describe an example. (2 marks)

One angle of a linear pair is 47 degrees. Find the other. (2 marks)

The measure of an angle is 4 times its complement. Find the angle. (2 marks)

Two lines intersect forming angles x and 3x as a linear pair. Find x. (2 marks)

Can two acute angles be supplementary? Give a reason. (2 marks)

Name two real-life examples of parallel lines. (2 marks)

If an angle is 30 degrees less than its supplement, find the angle. (2 marks)

What is the difference between a linear pair and supplementary angles? (2 marks)

Two parallel lines are cut by a transversal. One corresponding angle is 112 degrees. Find its pair and the alternate exterior angle of the 112 degree angle. (2 marks)

Two angles are supplementary and one is 4 times the other. Find both angles. (3 marks)

The measures of two complementary angles are (2x + 10) degrees and (3x - 5) degrees. Find x and both angles. (3 marks)

Two lines intersect. One angle is (5y - 20) degrees and its vertically opposite angle is (3y + 20) degrees. Find y and all four angles. (3 marks)

In a figure, two parallel lines are cut by a transversal. One interior angle on the same side is (2a + 30) degrees and the other is (a + 15) degrees. Find a and both angles. (3 marks)

Three angles at a point on a straight line are x, 2x and 3x. Find each angle. (3 marks)

Read the passage and answer the questions. A road crosses two parallel railway tracks. The road makes an angle of 60 degrees with the first track. (i) What angle does it make with the second track at the corresponding position? (ii) What is the alternate interior angle to the 60 degree angle? (iii) What is the interior angle on the same side as the 60 degree angle? (5 marks)

Read the passage and answer the questions. A pair of scissors opened wide forms two intersecting lines. The blades make an angle of 35 degrees between them. (i) What is the vertically opposite angle at the screw? (ii) Find the other two angles formed at the screw. (iii) Which pairs among these form linear pairs? (5 marks)

Read the passage and answer the questions. A ladder leans against a wall and makes an angle of 65 degrees with the ground. The ground and the top of a parallel shelf are horizontal. (i) Find the angle the ladder makes with the shelf at the same position. (ii) What property is used? (iii) Find the supplement of 65 degrees and say where it appears. (5 marks)

Read the passage and answer the questions. A clock shows 3 o'clock. The hour hand and minute hand form an angle. (i) What angle do they make? (ii) What is its supplement? (iii) At 6 o'clock the hands form a straight angle. If a ray points to 2 o'clock, find the two adjacent angles formed and show they form a linear pair. (5 marks)

Read the passage and answer the questions. A zebra crossing has white stripes that are parallel. A pedestrian walks diagonally across, making an angle of 50 degrees with the first stripe. (i) What angle does his path make with the third stripe at the corresponding position? (ii) Why are the angles the same? (iii) Find the alternate interior angle and the interior angle on the same side. (5 marks)

Draw two parallel lines cut by a transversal. Mark one angle as 72 degrees and find all the other seven angles, giving the reason for each. (6 marks)

Draw figures to show (i) a pair of adjacent complementary angles (ii) a linear pair (iii) vertically opposite angles (iv) a pair of non-adjacent supplementary angles. Write the measures you used. (6 marks)

Explain the three conditions for two lines to be parallel when cut by a transversal. Draw a diagram for each and explain how a carpenter can check that two shelves are parallel. (6 marks)

Two lines AB and CD intersect at O. If angle AOC + angle BOD = 100 degrees, find angles AOC, BOD, AOD and BOC. Draw the figure. (6 marks)

In a figure, l is parallel to m and a transversal makes angles x and y such that x is an interior angle and y is the interior angle on the same side, with x : y = 4 : 5. Draw the figure, find x and y, and find the alternate interior angle of x. (6 marks)