Question

Using a protractor, draw an angle of measure 113degree. With this angle as
given, draw an angle of measure 56.5degree.

Answer 1

We will learn how to construction of an angle using a protractor.

Let us draw an angle whose measure is 60°. Use a ruler to draw YZ.

Construction of 60 Degree Angle

0Save

Now, place the protractor over YZ such that the baseline of the protractor coincides with YZ and midpoint of the baseline coincides with point Y.

Mark a point X where you find 60 on the protractor. Now, join X and Y with the help of a ruler. We ∠XYZ = 60°.

Let us draw an angle EFG measuring 120°. Draw a ray EF. Place the protractor over EF such that the baseline of the protractor coincides with EF and the midpoint of the baseline coincides with point F. Read markings on the outer semicircle of the protractor and mark point G on 120°.

Construction of 120 Degree Angle

0Save

Join F and G with the help of a ruler. We have ∠EFG = 120°.

Answer 2

Step-by-step explanation:

When we will make an angle of 113 ° using protactor,

then mark one arc with compass from the 0° point and one from 113° , where the arcs intersect, join the line with the centre.

You will have your 56.5 ° i.e. 113/2

This is known as bisecting the angle.

Hope it helps