Question

In the given circle, tangent AB and secant CD intersect at point E as shown.

What is the value represented by x?

A.
70
B.
110
C.
220
D.
140

Answer 1

Answer:

70

Step-by-step explanation:

180 - 110

70

Answer 2

Answer:

The value represented by x is: A.70

Step-by-step explanation:

• The tangent AB is a straight line and E is a point situated on the straight line. The value of angle AEB is 180°.
• We can also write, ∠ AEB = ∠ AEC + ∠ BEC

                                       ∠ BEC = ∠ AEB - ∠ AEC

         The value of ∠ AEC is 110° [as mentioned in question]. And the value of ∠ AEB = 180° [previously calculated]. Putting these values in above equation,     ∠ BEC = 180° - 110° = 70°

• x° indicates the angle ∠ BEC, so value of x° = ∠ BEC = 70°

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