Answer:
a) x = 27°; y = insufficient information
b) 58°
Step-by-step explanation:
You want the values of x and y, and the angle of depression of D from A in the given diagram.
b) Depression
The angle BAD is the remainder of a full circle after long arc BD is subtracted:
∠BAD = 360° -302°
∠BAD = 58°.
a) Value of x
At transversal AD, the alternate interior angles BAD and ADC are congruent.
The value of x is the remainder of the 58° angle after angle FDC is subtracted:
x + ∠FDC = ∠ADC
x = 58° -31° = 27°
The value of x is 27°.
Value of y
Point C can be located anywhere on line DE, so there is no reason for angle y to be anything in particular. More information is needed in order to provide a value of y.
