1) Draw a base of 17 cm.

2) Draw bisectors of the angles given.Here,you need to draw 30°/2 = 15° and 90°/2 =45° from the ends of the segment.

3) Elongate them till they meet at a point. Say, this point is X.

4) Draw perpendicular bisectors for both the sides. 

5) Elongate both the perpendicular bisectors till they meet at the base. These are points Y and Z.

6) Join Y and Z to X.

7) ∆XYZ is complete.

Yay! We completed the construction. Recheck it by measuring the angles and the perimeter. :D