Answer: Choice A
Triangle MNO is similar to triangle GHK by AA similarity postulate
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Explanation:
M = 79 and O = 22 are the two given angles of triangle MNO. The missing angle is
N = 180-M-O
N = 180-79-22
N = 79
The idea I'm using is that for any triangle, the three angles add to 180 degrees. So M+N+O = 79+79+22 = 180.
Through similar work, angle K is 22 degrees because
K = 180-G-H
K = 180-79-79
K = 22
Angle M = angle G = 79 match up
Angle N = angle H = 79 match up
Angle O = angle K = 22 match up
The order is important so the letters line up correctly (to pair up). We only need two pairs of angles to use the AA (angle angle) similarity postulate.
Only triangle GHK has the three angles mentioned. The other triangles are close but not quite there.
