Hi there!
We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
The value of the is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
Here are the angle of the triangle and
are the sides of that triangle.
Given information-
The triangle for the given problem is attached below.
In the triangle the base of the triangle is 2.6 units long.
The sine law for the given triangle can be written as,
As the value of side is known and the value of
has to be find. Thus use
Put the values,
Solve it for the ,
Hence the value of the is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
Learn more about the sine law here;
