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Mars2501 [29]
3 years ago
15

If you're good at trig please help meeeee

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

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°

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