Question

What is the m∠ADC?

14

24

44

134

Answer 1

What the...

Answer 2

First you were orange, now you're yellow

Answer 3

lol iam cool like tht

Answer 4

jk @Hero

Answer 5

m∠DCA and m∠DCB are supplementary angles. Therefore:
m∠DCA + m∠DCB = 180

m∠DCB = 46, solve for m∠DCA.

Once you've done that you'll have the values of two of the three angles in the triangle. At that point you can solve for m∠ADC.

m∠DCA + m∠DAC + m∠ADC = 180

Answer 6

BTW if it gets confusing with all of the angles with similar names, just rewrite them like so:
m∠DCB = W = 46
m∠DCA = X
m∠DAC = Y = 22
m∠ADC = Z

180 = W + X = 46 + X
180 = X + Y + Z = X + 22 + Z

Answer 7

i dont get it so what would answer be and how @Wired

Answer 8

W = 46
180 = W + X

Solve for X.

Answer 9

so 134

Answer 10

Yep.
X = 134
Y = 22
180 = X + Y + Z

Answer 11

thank you