Answer:
x = 42
y = 38
Step-by-step explanation:
for y:
there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°
for x :
first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°
Sorry if this was very lengthy haha
hope it helps:)
Answer: 117
Step-by-step explanation: Angle FAB is just 360 degrees minus all the other angles except 30. If you view the green/shaded area as a circle, there are 360 degrees, and FAB is a section of it. So 360-70-71-48-54=117. I hope this helps!
In a 30 60 90 triangle, the "middle-sized" side = the short side multiplied by the square root of 3.
so the "middle-sized" side = x * square root of 3.
Source:
http://www.1728.org/trig2.htm
