Measuring Angles

Q.

What is the use of set square

Q.

What is zero angle?

Q. What is the sum of the complementary angles?

1. 90 degrees
2. 180 degrees
3. 270 degress
4. 360 degrees

Q. Each angle of square measures ___ degrees.

Q.

The sum of two acute angles is ___ an acute angle.

1. always

2. never

3. not always

4. definetely

Q. Question 3
The construction of a $\Delta ABC,$ given that BC = 3cm, $\angle C={60}^{\circ }$ is possible when difference of AB and AC is equal to

(A) 3.2 cm
(B) 3.1 cm
(C) 3 cm
(D) 2.8 cm

Q.

When the time on the clock is 12:00, the angle formed between the hour and the minute hand is ____

1. straight angle

2. right angle

3. zero angle

4. acute angle

Q. Find the angle between the hour hand and the minute hand, when the time is 6:30.

1. ${30}^0$
2. ${15}^0$
3. ${45}^0$
4. ${25}^0$

Q. The measure of the angle at 3 PM on a clock is equal to ___ degrees.

Q.

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute or obtuse?

1. $0^{\circ }$, Acute

2. ${180}^{\circ }$, Obtuse

3. ${15}^{\circ }$, Acute

4. ${30}^{\circ }$, Acute

Q.

Question 5

Which angle has a large measure? First estimate and then measure:
The measure of angle A =
The measure of angle B =

Q.

Can we have two obtuse angles whose sum is

a) A reflex angle? Why or Why not? (1 mark)

b) A complete angle? Why or Why not? (1 mark)

Q.

Question 8 (a)

Find the measure of the angle shown in the given figure. (First, estimate with your eyes and then find the actual measurements with a protractor)

Q.

Question 5 (d)

Find the number of right angles turned through by the hour hand of a clock when it goes from
10 to 1

Q.

Question 8 (b)

Find the measure of the angle shown in the given figure. (First, estimate with your eyes and then find the actual measurements with a protractor).

Q.

Question 4 (c)

Measure the angle given below, using the protractor and write down the measure:

Q. Draw an angle of measure 45˚ and bisect it.

Q.

Can we have two acute angles whose sum is

a) an acute angle? Why or Why not?

b) a right angle? Why or Why not?

c) an obtuse angle? Why or Why not?

d) a straight angle? Why or Why not?

e) a reflex angle? Why or Why not? (5 x 0.5 marks = 2.5 marks)

Q. Which of the following instruments can be used to draw any angle of a given measure?

1. Ruler
2. Set Square
3. Protractor
4. Divider

Q.

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute, obtuse or reflex?

1. 0º , Acute

2. 15º, Acute

3. 30º, Acute

4. 180º, Obtuse

Q. The central angle of a part of a circle which is divided into $6$ equal parts is:

1. ${60}^{\circ }$
2. ${45}^{\circ }$
3. ${30}^{\circ }$
4. ${90}^{\circ }$

Q.

Which of the following angles can be drawn using a broken protractor with markings from $0^{\circ }$ to ${45}^{\circ }$.

1. ${80}^{\circ }$

2. ${60}^{\circ }$

3. ${30}^{\circ }$

4. ${20}^{\circ }$

Q. Construct an angle of ${130}^0$ using protractor.

Q. Choose the correct devices that is used for constructing parallel lines.

1. Ruler
2. Compass
3. $({60}^{\circ }-{30}^{\circ })$ set square
4. $\left({45}^{\circ }\right)$ set square

Q. How do we make a degree clock and what angles do they measure? [3 Marks]

Q. Which of the following angles can be constructed using a protractor?

1. ${45.6}^{\circ }$
2. ${29.8}^{\circ }$
3. ${37}^{\circ }$
4. ${67.3}^{\circ }$

Q. Draw an angle of measure ${70}^{\circ }$ with protractor. Bisect this angle using compasses and rules.

Q. Draw a $\angle ABC$ of measure 100${}^0$ . Bisect it.

Q. Match the following:

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${130}^{\circ }$
4. ${180}^{\circ }$

Q. In right angle triangle $\Delta PQR,$ right angle is at $Q$ and $PQ=6cm,\angle RPQ={60}^{\circ }.$ Determine the lengths of $QR$ and $PR.$