Construct an angle of 90^{0} at the initial point of a given ray and justify the construction

Construct an angle of 45^{0} at the initial point of a given ray and justify the construction

Construct the angles of the following measurements:

(i) 30°

(ii)

(iii) 15°

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

(i) 75°

(ii) 105°

(iii) 135°

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

Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm.

Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm

Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm

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