Solve for the unknown angles. Justify your answers with steps (do not just provide answers)

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°

Step-by-step explanation:

∠ 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 )

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

the answer to this question is in the pic