Question

Chord SR intersects tangent AB to form ∠SRA. Find m∠SRA.

A. m∠SRA = 40°

B. m∠SRA = 80°

C. m∠SRA = 100°

D. m∠SRA = 140°

Answer 1

C.

Explanation:

Answer 2

see the picture attached to better understand the problem

we know that

C is the center of the circle
CR=CS-----> is the radius of the circle
CR and AB are perpendicular
the triangle SCR is a isosceles triangle
angle SCR is equal to 80°------> is a central angle
angle CSR and angle CRS are equal to 50°----> because 80+50+50=180

therefore
m∠SRA=90°-m∠CRS------> m∠SRA=90°-50°=40°

the answer is
m∠SRA=40°