Answer:
x ≈ 77°, y = 103°
Step-by-step explanation:
Using the Sine rule in Δ BCD
=
( cross- multiply )
2.9sinx° = 4sin45° ( divide both sides by 2.9 )
sinx° = , thus
x = (
) ≈ 77° ( to the nearest degree )
Since AC and DC are congruent then Δ ACD is isosceles.
Thus the base angles are congruent, that is
∠ ADC = ∠ CAD = y°
x and y are adjacent angles and supplementary, thus
x + y = 180, that is
77 + y = 180 ( subtract 77 from both sides )
y = 103°
Answer:
The correct answer is d.
Step-by-step explanation:
Let's solve each answer and see which one matches.
Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:
a)
b)
c)
d)
So d is the correct answer.