In a circle if you have two arcs one is 60° and one is 97° are they congruent

Two arcs on a circle having central angle as and are not congruent.

Solution:

Need to find whether two arcs having central angle as and   of same circle are congruent or not.

For congruency of two arcs, radius and length of the arc must be same.

Since two arcs in discussion is on same circle, so radius is equal

Let’s assume radius of circle = r

where θ is central angle.

So length of the arc when central angle

Length of the arc when central angle =

So clearly length of the two arc  are not equal. Hence two arcs having central angle as and are not congruent.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: