In the figure above, JKLMN is a regular pentagon. Find the measure of ∠KQL
A. 45
B. 48
C. 51
D. 54
E. 60
OA D
Source: Magoosh
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In the figure above, JKLMN is a regular pentagon. Find the m
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BTGmoderatorDC
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In the figure above, JKLMN is a regular pentagon. Find the measure of ∠KQL
A. 45
B. 48
C. 51
D. 54
E. 60
OA D
Source: Magoosh
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Scott@TargetTestPrep
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Since JKLMN is a regular pentagon, each exterior angle is 360/5 = 72, so each interior angle is 180 - 72 = 108.BTGmoderatorDC wrote:
In the figure above, JKLMN is a regular pentagon. Find the measure of ∠KQL
A. 45
B. 48
C. 51
D. 54
E. 60
OA D
Source: Magoosh
Triangle JKN is an isosceles triangle with vertex angle J = 108, so angle QNR = (180 - 108)/2 = 72/2 = 36. Since angle QRN = 90, angle RQN = 180 - 90 - 36 = 54. Since angle KQL and angle RQN are vertex angles, angle KQL = 54.
Answer: D
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