Question

In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of side M N is 19 inches. Sides X Y and M P are congruent. Sides Y Z and P N are congruent. If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°

Answer 1

Answer:

$m\angle Y = 85\°$

Step-by-step explanation:

In Triangles YXZ and PMN

$XY \cong MP\\YZ \cong PN$

Since the third side of  triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.

Therefore:$\triangle XYZ \cong \triangle MPN$

If the measure of angle P = 85°

Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.

Answer 2

Answer:

I believe the correct answer would be m<Y= 100° which would be letter C.

Step-by-step explanation: