Question

Radius CS bisects chord AG what is measure CGF?

Answer 1

Answer:

m∠CGF=25°

Step-by-step explanation:

we know that

In a circle, a radius that bisects a chord is perpendicular to the chord

so

CS is perpendicular to AC

The triangle GFC is a right triangle

Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees

m∠CGF+m∠GFC+m∠GCF=180°

we have

m∠GFC=90°

m∠GCF=65°

substitute

m∠CGF+90°+65°=180°

m∠CGF+155°=180°

m∠CGF=180°-155°

m∠CGF=25°