Answer:
PNQ=117
LKQ=102
Step-by-step explanation:
LKQ=180-78=102
KQN=180-67=113
LNQ=360-82-102-113=63
PNQ=180-63=117
∠ LKQ = 102°, ∠ PNQ = 117°
∠ LKQ = 180° - 78° = 102° ( adjacent angles on a straight line )
∠ KQN = 180° - 67° = 113° ( adjacent angles on a straight line )
The sum of the interior angles of a quadrilateral = 360° , then
∠ LNQ = 360° - (102 + 113 + 82)° = 360° - 297° = 63°
Then
∠ PNQ = 180° - 63° = 117° ( adjacent angles on a straight line )
Good Luck!
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