The DAV Class 6 Maths Book Solutions and **DAV Class 6 Maths Chapter 14 Worksheet 2 **Solutions of Constructions offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 14 WS 2 Solutions

Question 1.

Draw an angle of any measure and name it. Using compasses and ruler, draw another angle equal to ∠A.

Answer:

Step 1: Draw an ∠BAC.

Step 2: With centre A and suitable radius, draw an arc which meets AC and AB at D and E respectively.

Step 3: Now draw a ray QR.

Step 4: Taking Q as centre and radius equal to AD, draw an arc which meets QR at S.

Step 5: Taking S as centre and radius equal to DE, draw an arc which cuts the first arc at T.

Step 6: Join QT and produce it to P.

Hence, ∠PQR is the required angle equal to ∠A.

Question 2.

Draw an ∠XYZ equal to 90°. Using the compasses and ruler, draw YO the bisector of ∠XYZ. Measure ∠XYO and ∠ZYO. Are they equal?

Answer:

Step 1: Draw ∠XYZ = 90°

Step 2: Taking Y as centre and with suitable radius, draw an arc which meets YZ and XY at R and S respectively.

Step 3: Taking R and S as centres and radius equal to more than of SR, draw two arcs which intersects each other at T.

Step 4: Join YT and produce it to O.

Hence YO is the bisector of ∠XYZ such that ∠XYO = ∠ZYO = 45°

Question 3.

Draw ∠CAB = 150° using protractor. Using compasses, draw another angle equal to ∠CAB.

Answer:

Step 1: With the help of protractor draw ∠CAB = 150°. Draw an arc with centre A and suitable radius.

Step 2: Draw a ray PQ.

Step 3: Taking P as centre and radius equal to AD, draw an arc.

Step 4: This arc meets PQ at S.

Step 5: Taking centre S and radius equal to ED, draw an arc which meets the first arc at T.

Step 6: Join PT and produce it to R.

Hence ∠RPQ is the required angle such that ∠RPQ = ∠CAB = 150°