In the triangles, xy = mp and yz = pn.

if mp = 85°, which is a possible measure for y?

1. my = 80°
2. my = 85°
3. my = 100°
4. my = 180°

Option 3. is the right option. 100° is a possible measure for m∠Y.

Step-by-step explanation:

Given : Two triangles ΔXYZ and ΔMPN where XY = MP and YZ = PN

XY=23 in. and MN=19 in.

Clearly XY>MN

⇒m∠Y>m∠P ...(angle opposite to the greater side is greater )

And m∠P=85° ⇒ m∠Y>85°

So option 1) and option 2) are not correct as they are less than 85°.

Option 4 is also not correct as it cannot be possible in a triangle because 180° is the angle of a straight line.

Therefore, Option 3 should be the correct option correct option, 100° is a possible measure for m∠Y.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

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