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in circle A, tangent FH and chord EG intersect to form angle HEG. FInd the measure of angle HEG.
A. 36 degrees
B. 72 degrees
C. 144 degrees
D. 216 degrees

in circle A tangent FH and chord EG intersect to form angle HEG FInd the measure of angle HEG A 36 degreesB 72 degreesC 144 degreesD 216 degrees class=

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aachen

Answer:

Option B is correct, i.e. 72 degrees.

Step-by-step explanation:

Given is a diagram of circle in which tangent-chord angle is formed i.e. angle ∠HEG.

We can find the angle ∠HEG using the Tangent-Chord Angle formula as follows:-

Tangent-chord angle = Half of intercepted arc.

angle ∠HEG = 1/2 arcEG.

(3x + 18) = 1/2 * (9x - 18)

6x + 36 = 9x - 18

9x - 6x = 36 + 18

3x = 54

x = 18.

angle ∠HEG = 3x+18 = 3*18 + 18 = 72 degrees.

Hence, option B is correct, i.e. 72 degrees.

329758

B.

Step-by-step explanation:

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