Answer :

To find all pairs of matching angles, we always look for the corresponding sides or similar sides in the two triangles and the angles between any two of the corresponding sides in the two figures are matching angles.


In the triangles given above, we first find the corresponding sides or similar sides.


NL = XY = 4 cm


LM = YZ = 8 cm


NM = XZ = 10 cm


To find pairs of matching angles, the angles between any two of the corresponding sides in the two triangles are matching angles.


a) Angle between NL (4 cm) and LM (8 cm), NLM = Angle between XY (4 cm) and YZ (8 cm) , XYZ.


b) Angle between LM (8 cm) and NM (10 cm), LMN = Angle between YZ (8 cm) and XZ (10 cm) , YZX.


c) Angle between NM (10 cm) and NL (4 cm), MNL = Angle between XZ (10 cm) and XY (4 cm) , ZXY.


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