Question

Construct ∠PQR = 1150

and divide it into two equal parts.​

Answer 1

Steps of construction :-

• Draw a line segment QR .
• With the help of a protractor, draw an ∠PQR equals to 115° .
• With one end of the compass at Q, mark two equidistant arcs on line segment QP and QR.
• From the two points on the line segment, draw two intersecting arcs. Join Q to the intersection point of those arcs by line segment QO .
• Line segment QO is the angle bisector of ∠PQR .
• ∠PQO = ∠OQR = 52.5° .