Question

Anyone know the answer???

Answer 1

Hello from MrBillDoesMath!

Answer:

k = 10

Discussion:

angle MYK = 180 and angle MYX = 180 =>  angle ZYX = 180 - 115 - 65

Trialing XYZ has 180 degrees so

180 =  (4k + 5) +  (6k+10) + 65     => combine like terms

180 = (4k + 6k) + (5 + 10 + 65)     => as 4k +6k = 10k

180 = 10k  + 80                              => subtract 80 from both sides

180 -80 = 100 = 10k                      => divide both sides by 10

100/10 = k

Thank you,

MrB