Construct an angle of 90⁰ at the initial point of a given ray and justify the construction.

Construct an angle of 45⁰ at the initial point of a given ray and justify the construction.

Construct the angles of the following measurements:

1. 30⁰                     

2. 22 ⁰                

3. 15⁰

Construct the following angles and verify by measuring them by a protractor:

1. 75⁰                        

2. 105⁰                   

3. 135⁰

Construct an equilateral triangle, given its side and justify the construction.

Construct a triangle ABC in which BC = 7 cm, ∠B = 75⁰ and AB + AC = 13 cm.

Construct a triangle ABC in which BC = 8 cm, ∠B = 45⁰ and AB − AC = 3.5 cm.

Construct a triangle PQR in which QR = 6 cm, ∠Q = 60⁰ and PR − PQ = 2 cm.

Construct a triangle XYZ in which ∠Y = 30⁰, ∠Z = 90° and XY + YZ + ZX = 11 cm.

Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.