Find the value of $J K$ in the following figure if $∠ H L G = ∠ J L K$ .

11

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21

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Solution

The correct option is C $21$
Equal angles are formed by congruent chords.
Thus, $2 y + 5 = y + 13$
$y = 13 - 5$
$y = 8$
$J K = y + 13$
$J K = 8 + 13 = 21$

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Find the value of JK in the following figure if ∠HLG=∠JLK.

The correct option is C 21Equal angles are formed by congruent chords. Thus, 2y+5=y+13y=13−5y=8JK=y+13JK=8+13=21

Find the value of $J K$ in the following figure if $∠ H L G = ∠ J L K$ .

The correct option is C $21$
Equal angles are formed by congruent chords.
Thus, $2 y + 5 = y + 13$
$y = 13 - 5$
$y = 8$
$J K = y + 13$
$J K = 8 + 13 = 21$