LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

CONSTRUCTION OF 45 DEGREE ANGLE

__CONSTRUCTION OF 45 DEGREE (45⁰) ANGLE -__

**To construct a 45-degree 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:-__Mark the intersection point of the two arcs. Place the compass point on this intersection point and draw an arc that**intersects both arcs.**__Draw the angle bisector line:-__Draw a straight line from one 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 45-degree angle.

**This construction uses the property that an angle bisector of a 90-degree angle creates two congruent 45-degree angles. Make sure to use a ruler to draw straight lines and a compass to create accurate arcs.**

__Another Way Of Draw 45⁰ Angle :-__

__Step.1)__ Take a point O and draw any line OA to X axis and OB to Y axis.

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

__Step.3)__ Construct AOB, and

** ∠AOB = 90⁰**

__Step.4)__ Bisect ∠AOB. Let ray OG be the bisector of ∠AOB,

** then ∠AOG = 45⁰**