Question

Given: line BD is tangent to circle C.

Find m∠CEB.
A) 45°
B) 90°
C) 100°
D) 110°

Answer 1

the answer is B.) 90

Answer 2

m∠CEB=90°

B is correct.

Explanation:

Given: A line BD is tangent to circle C.

To prove: m∠CEB= ?

Proof:

CE is radius of circle because C is centre.

BD is tangent to circle.

Point E lie on tangent at touches the circle.

CE perpendicular to tangent.

Because radius of circle is perpendicular to tangent.

Therefore, CE⊥BD

If two line is perpendicular then they make 90° angle between them.

Hence, m∠CEB=90°