Question

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

Answer 1

Answer:

$m\angle Y$

Step-by-step explanation:

In triangle XYZ, the lengths of sides are

• $XY=m+8;$
• $YZ=2m+3;$
• $XZ=m-3.$

If $m\ge 6,$ then

• $m+8\ge 14;$
• $2m+3\ge 15;$
• $m-3\ge 3$

and

$m-3\le m+8\le 2m+3$

The greatest angle is opposite to the greatest side, the smallest angle is opposite to the smallest side, so

• the greatest side is $YZ=2m+3$ - the greatest angle is $\angle X;$
• the smallest side is $XZ=m-3$ - the smallest angle is $\angle Y.$

Thus,

$m\angle Y$

Answer 2

Answer:

B

Step-by-step explanation:

mAngleY < mAngleZ < mAngleX