Question

75°,Construct the given angle using ruler and compasses.Write the steps of construction in each case.

Answer 1

Step 1: Draw a line AB and mark a point O on it.

Step 2: Draw a ray OP such that ∠AOP = 90°

Step 3: Now draw another ray OQ such that ∠AOQ = 60°

Step 4: Draw the bisector of ∠POQ = 30°. Mark the bisector as OR.

Step 5: Hence ∠AOR =75°

Answer 2

In order to construct a 75 degree angle, you must know how to construct 90 degree.

Even if you don't know, no need to worry it's very easy follow The below steps:

Step 1: Draw a straight line of arbitrary length.

Step 2: draw an Arc with point A as a centre.

Step 3: Draw another arc from point B and then from C as centre.

Step 4: the two parts B and C can intersect at point F.

Step 5: join the point A and point F, and you will get a 90 degree.

Step 6: this time we have to consider the points G and D as radius. They intersect at point P.

Step 7: join the point A and point P and you'll get a 75 degree.