Triangle X Y Z is shown. Angle X Z Y is 63 degrees. The length of X Z is 2.7 and the length of X Y is 2.8. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which is the approximate measure of angle Y? Use the law of sines to find the answer. 52° 59° 64° 67°

59°

Step-by-step explanation:

For the triangle XYZ the sine theorem states that

Since

you have

The approximate measure of angle Y is 59° ⇒ 2nd answer

Step-by-step explanation:

The formula of the sine law of a triangle is , where

In Δ XYZ

∵ The side YZ is opposite to ∠X

∵ The side XZ is opposite to ∠Y

∵ The side XY is opposite to ∠Z

- Write the sine formula

∴  

∵ m∠XZY 63°

∵ The length of XZ = 2.7 units

∵ The length of XY = 2.8

- Substitute them in the sine formula

∴  

- By using cross multiplication

∴ 2.8 × sin(Y) = 2.7 × sin(63)

- Divide both sides by 2.8

∴ sin(Y) = 0.85918486

- Use the inverse of sine () to find y

∴ m∠Y =

∴ m∠Y ≅ 59°

The approximate measure of angle Y is 59°

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

yes

step-by-step explanation:

yes