Triangle ABC has AC=BC, <ACB = 96 degrees. D is a point in ABC such that <DAB = 18 degrees and <DBA = 30 degrees. What is the measure in degrees of <ACD?
HINT ONE
Let <ACD = z
Now, what else can we label?
_______________
_______________
<CDB:___________
HINT TWO
Law of Sines: (Don’t forget that triangle ABC is isosceles)
Double Angle Formula:
Sin2A = 2 SinA CosA
Difference Formula:
Sin(A-B) = SinA CosB – CosA SinB
Solve for sin(z+72)!_
HINT THREE
Let x = 72 + z
Manipulating this equation, I know…
z =
so, <ADC = __________
____
HINT ONE
Let <ACD = z
Now, what else can we label?
_______________
_______________
<CDB:___________
HINT TWO
Law of Sines: (Don’t forget that triangle ABC is isosceles)
Double Angle Formula:
Sin2A = 2 SinA CosA
Difference Formula:
Sin(A-B) = SinA CosB – CosA SinB
Solve for sin(z+72)!_
HINT THREE
Let x = 72 + z
Manipulating this equation, I know…
z =
so, <ADC = __________
____