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    Exercise 5.4

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6th class > > Exercise 5.4

Exercise 5.4

1. What is the measure of (i) a right angle? (ii) a straight angle?

Write in the form of degrees : (i). degrees, (ii). degrees.

 2. Say True or False :
The measure of an acute angle < 90°.
The measure of an obtuse angle < 90°.
The measure of a reflex angle > 180°.
The measure of one complete revolution = 360°.
If m ∠A= 53° and m B∠=35° then m∠A > m∠B.
True
False
3. Write down the measures of.(give at least two examples of each).

(a) some acute angles (Hint : > 90 degrees) : degrees,degrees.

(b) some obtuse angles (Hint : < 90 degrees) : degrees,degrees.

 4. Measure the angles given below using the Protractor and write down the measure.

a. degrees.

b. degrees.

c. degrees.

d.∠1 = degrees,∠2 = degrees,∠3 = degrees.

 5. Which angle has a large measure?First estimate and then measure.

Measure of Angle A = degrees.

Measure of Angle B = degrees.

 6. From these two angles which has larger measure? Estimate and then confirm by measuring them.

: ∠A = , ∠B = .

: ∠B ∠A.

7. Fill in the blanks with acute, obtuse, right or straight ?

(a) An angle whose measure is less than that of a right angle is .

(b) An angle whose measure is greater than that of a right angle is .

(c) An angle whose measure is the sum of the measures of two right angles is .

(d) When the sum of the measures of two angles is that of a right angle, then each one of them is .

(e) When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be .

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

a. degrees.

b. degrees.

c. degrees.

d. degrees.

 9. Find the angle measure between the hands of the clock in each figure ?

a. At 9.00 am : degrees.

b. At 1.00 pm : degrees.

10. Investigate In the given figure, the angle measures 30°. Look at the same figure through a magnifying glass.Does the angle becomes larger? Does the size of the angle change?

: {.reveal(when="blank-0")}The angle doesn't change, the rays would change their length, hence the size of angle increases.

 11. Measure and classify each angle ?
AngleMeasureType
∠AOB
∠AOC
∠BOC
∠DOC
∠DOA
∠DOB