If  vuw  is equiangular, find  k  and  t. a.k  = 62,  t  = 74b. k  = 64,  t  = 52c. k  = 68,  t  = 52d. k  = 72,  t  = 64

C. k=68, t=52

Step-by-step explanation:

Let u, v, y represent the measures of the unmarked angles at the respective vertices. The angles of the equiangular triangle are all 180°/3 = 60°, so we have the relations ...

From these relations, we know that

... v = 180 -124 = 56 . . . . . 3rd equation above

... 56 +56 +k = 180 . . . . . . 2nd equation above, with y=v=56

... k = 180 -112 = 68 . . . . . above with 112 subtracted

... t = 180 -128 = 52 . . . . . 5th equation above with u=64 and 128 subtracted