Question

If VUW is equiangular, find k and t.

Answer 1

Answer:

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 ...

• y=v
• y+v+k = 180
• v+64+60 = 180
• u=64
• u+64+t = 180

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

Answer 2

Answer: C

Step-by-step explanation: Because i just took the test and got it right on E2020 or EDU2020