Respuesta :
are the angles complimentary or supplementary? Because if they are supplementary subtract 120 from 180. If they are complimentary then subtract 120 from 90. Which kind of leads be to believe they're supplementary, but you never know lol.
Answer:
We must use the Law of Sines to solve this question, which is as follows:
a/sinA = b/sinB = c/sinC
This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180º - x. We can now apply the law of sines to this data.
35/sin120 = 30/sin(180-x)
sin(180-x) = (30/35)(sin120)
sin(180-x) = 0.742
sin-1(sin(180-x)) = sin-1(0.742)
180 - x = 48º
x = 132º
We have already assigned x = ∠ADC; therefore, ∠ADC = 132º.
Step-by-step explanation:
