Problem 1
Answer: True
Step-by-step explanation:
Since
,
we can set up this equation
WV + VU = 12 + k
where k is nonzero
If k = 0 happened, then we'd land on WV+VU = 12. So we want anything but k = 0.
Let's plug in VU = 5 and see what happens
WV + VU = 12 + k
WV + 5 = 12+k
WV = 12+k-5
WV = 7+k
This shows the connection of
leading to

=================================================
Problem 3
Answer: True
Step-by-step explanation:
Angle A = 100 degrees, which leaves 180-A=180-100 = 80 degrees to be split amongst the two remaining angles of triangle ABC.
This leftover amount (80) is not larger than 90. So there is no way to have angle B = 90
It turns out that any obtuse triangle cannot have a 90 degree angle. The other two angles must be acute.
=================================================
Summary: Both answers are True