LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

CONSTRUCTION OF 90 DEGREE ANGLE

__CONSTRUCTION OF 90 DEGREE (90⁰) ANGLE -__

**To construct a 90-degree angle (a right angle) using a compass and straightedge, you can follow these steps:-**

__Draw a base line:-__Start by drawing a straight line, which will be the base for your angle.__Place the compass at one endpoint:-__Place the compass point (the sharp end) on one endpoint of the base line.__Adjust the compass width:-__Open the compass to a width greater than half the length of the base line. This will ensure that the arc you draw will intersect the base line on both sides.__Draw an arc:-__With the compass set, draw an arc that intersects the base line.__Place the compass at the other endpoint:-__Move the compass point to the other endpoint of the base line.__Draw another arc:-__Without changing the compass width, draw another**arc from the second endpoint. This arc should intersect the first arc you drew.**__Draw the angle bisector:-__The intersection of the two arcs should form an angle bisector. Draw a straight line from the initial endpoint through the intersection point to the other side of the base line.__Measure the angle:-__The angle formed by the intersection of the base line and the bisector is a 90-degree angle, which is a right angle.

**This construction utilizes the perpendicular bisector property to create a right angle. Make sure to use a ruler to draw straight lines and a compass to create accurate arcs.**

**Another way of Construction of 90⁰ Angle:-**

**Steps are -**

__Step.1)__ Draw any line l, and take a point O on it.

__Step.2)__ With zero (0) as centre and suitable radius, draw an arc to cut the line l at the points A & B.

__Step.3)__ With A & B as centres, draw two arcs of equal radius(> 1/2 AB) cutting each other at C.

__Step.4)__ Join OC and produce it to form the ray OC, then -

** ∠BOC = 90⁰**