In AUVW,UV = WU and m_W = 31°. Find mZU.

m<U = 118°

Step-by-step explanation:

∆UVW is an isosceles ∆ because it has two equal sides, UV and WU.

UV is opposite to <W = 31°

WU is opposite to <V = 31° (this is because the two equal sides of an isosceles ∆ has opposite angles that are also congruent).

Thus:

m<U = 180 - (m<W + m<V) (sum of triangle)

m<U = 180 - (31 + 31)

m<U = 118°

Step-by-step explanation:

There are 4 of them (acute angles that is)Those 4 are less than 90 degrees.They have supplementary angles which are greater than 90 degrees.There are 4 of them also.The total number of angles should be 8 if there are 2 parallel lines and 1 transversal.