Draw a line segment PQ = 6 cm. With P as vertex, draw an angle RPQ = 125º . What type of angle is it?
Answers
Step-by-step explanation:
Solution
Steps of Construction:
1.Construct a line segment PQ=6cm.
2.Now mark point A on PQ so that AP=2cm.
3. Taking A as centre and some suitable radius construct an arc which meets AQ at the point C.
4.Taking C as centre and with same radius cut the arc CB.
5.Now join AB and produce it to point R.
∠QAR=60
o
.
Please refer the above attachment for diagram.
We Know That if the angle is completely divisible by 15 then we could able to draw the diagram through compass.
Let us check,
125 ÷ 15 = 8.333…
Implies that 125 is not completely divisible by 15.
Therefore we should use a protactor to draw the diagram.
Now let us see the steps for construction:-
1. Draw a line segment PQ for 6 cm.
2. Then assuming P as vertex place a protactor on it and point at the 125°(between 120° and 130°) and name the point as R.
3. Then join RP.
4. Now we got the angle RPQ = 125°.
5. The resultant angle is Obtuse angle.