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# Construct the 75° angles and verify by measuring it by a protractor. - CBSE Class 9 - Mathematics

ConceptBasic Constructions

#### Question

Construct the 75° angles and verify by measuring it by a protractor.

#### Solution

The below given steps will be followed to construct an angle of 75°.

(1) Take the given ray PQ. Draw an arc of some radius taking point P as its centre, which intersects PQ at R.

(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.

(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T (see figure).

(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.

(5) Join PU. Let it intersect the arc at V. Taking S and V as centre, draw arcs with radius more than 1/2SV. Let those intersect each other at W. Join PW which is the required ray making 75° with the given ray PQ.

The angle so formed can be measured with the help of a protractor. It comes to be 75º.

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#### APPEARS IN

NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 11: Constructions
Ex. 11.10 | Q: 4.1 | Page no. 191

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Solution Construct the 75° angles and verify by measuring it by a protractor. Concept: Basic Constructions.
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