Question

If you're good at trig please help meeeee

b) find x degrees and y degrees to the nearest degree

Answer 1

x ≈ 77°, y = 103°

Explanation:

Using the Sine rule in Δ BCD

`(2.9)/(sin45)` =
`(4)/(sinx)` ( cross- multiply )

2.9sinx° = 4sin45° ( divide both sides by 2.9 )

sinx° =
`(4sin45)/(2.9)` , thus

x =
`sin^(-1)` (
`(4sin45)/(2.9)` ) ≈ 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°