Question

If you're good at trig please help meeeee

Answer 1

Answer:

x ≈ 77°, y = 103°

Step-by-step explanation:

Using the Sine rule in Δ BCD

$\frac{2.9}{sin45}$ = $\frac{4}{sinx}$ ( cross- multiply )

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

sinx° = $\frac{4sin45}{2.9}$ , thus

x = $sin^{-1}$ ($\frac{4sin45}{2.9}$ ) ≈ 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°