Question

Construct $∆$DCE, such that, DC = 7.9 cm, $\angle$C = 135$°$, $\angle$D = 20$°$ and draw its circumcircle.

Answer 1

Steps of construction:
1. Draw a line segment DC=7.9 cm.
2. Draw $\angle \mathrm{CDX}=20°$.
3. Draw another angle $\angle \mathrm{DCY}=135°$.
4. The rays CY and DX intersect at point E.
5. Then $∆$DCE is the required triangle.
6. Draw perpendicular bisectors of sides DC and CE (any two sides) which intersect at O.
7. Taking O is the centre and OD or OC or OE as the radius, draw the required circumcircle.