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Investigate
In the given figure, the angle measures \( 30^{\circ} \). Look at the same figure through a magnifying glass. Does the angle becomes larger? Does the size of the angle change?
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:04

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To do:We have to find whether the angle becomes larger when seen through a magnifying glass.  Solution:The measure of the angle remains $30^o$ even when we look at it through a magnifying glass.Therefore, The measure of an angle does not change by viewing through a magnifying glass.Read More

Measure and classify each angle :
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:04

48 Views

To do:We have to measure and classify each angle. Solution:Using Protractor, The measure of $\angle AOB$ is $40^o$ and it is an acute angle.The measure of $\angle AOC$ is $125^o$ and it is an obtuse angle.The measure of $\angle BOC$ is $85^o$ and it is an acute angle.The measure of $\angle ... Read More

Find the angle measure between the hands of the clock in each figure:
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:03

43 Views

To do:We have to find the measure between the hands of the clock in each figure. Solution:The measure of the complete angle in a circle is $360^o$.This implies, The measure of the angle between any two adjacent numbers $=\frac{360^o}{12}$$=30^o$Therefore, The measure of the angle between the hands of the clock at ... Read More

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

Tutorialspoint

Updated on 10-Oct-2022 13:34:02

8 Views

To do:We have to find which of the angles has a larger measure. Solution:Estimation of the first angle: It is equal to half of the right angle.Measuring the angle using Protractor, the first angle is equal to \( 45^o \)Estimation of the second angle: It is equal to two-thirds of the ... Read More

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

Tutorialspoint

Updated on 10-Oct-2022 13:34:02

36 Views

To do:We have to find the measures of the angles shown in each figure. Solution:Estimation of the first angle: It is equal to half of the right angle.Measuring the angle using Protractor, the first angle is equal to \( 40^o \)Estimation of the second angle: It is equal to three-fourths ... Read More

Which angle has a large measure?
First estimate and then measure.
Measure of Angle \( \mathrm{A}= \)
Measure of Angle \( B= \)
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:01

46 Views

To do:We have to find which of the angles has a large measure. Solution:Estimation of Angle A: It is equal to half of the right angle.Measuring the angle using Protractor, \( \mathrm{A}=40^o \)Estimation of Angle B: It is equal to two-thirds of the right angle.Measuring the angle using Protractor, \( \mathrm{B}=68^o ... Read More

In the given figures below, decide whether $l$ is parallel to $m$.
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:00

33 Views

To do:We have to decide whether $l$ is parallel to $m$ in each case.Solution:We know that, The sum of interior angles on the same side of transversal is $180^o$.(i) Here, Sum of the interior angles on the same side of the line $n=126^{\circ}+44^{\circ}$$=170^{\circ}$$≠180^{\circ}$Therefore, $l$ is not parallel to $m$.(ii) Let ... Read More

In the given figure, the arms of two angles are parallel. If $\angle ABC = 70^{\circ}$, then find

$(i).\ \angle DGC$
$(ii).\ \angle DEF$"

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:33:58

38 Views

Given: In the given figure, the arms of two angles are parallel. $\angle ABC = 70^{\circ}$.To do: We have to find(i) $\angle DGC$(ii) $\angle DEF$Solution:$AB \| DE$                 [Given]$BC \| EF$                  [Given]$\angle ABC=70^{\circ}$$\angle ABC$ and $\angle ... Read More

Find the value of $x$ in each of the following figures if $l||m$.
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:33:56

67 Views

To do:We have to find the value of $x$ in each of the given figures if $l \| m$.Solution:(i) Let the angle opposite to $110^{\circ}$ be $y$.Therefore, $y=110^{\circ}$           [Vertically opposite angles]$\angle x+\angle y=180^{\circ}$     [Sum of the interior angles on the same side of the transversal ... Read More

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