In Exercises 3 and 4, find the values of x and y
plz help!!!

The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.

Given :

The triangle ABC is given in the figure.

In an equilateral triangle, all angles are equal and therefore, each side is equal.

16 + y = 46

y = 46 - 16

y = 30

An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.

Applying sum of interior angles property:

80 + 60 + (60 - x) = 180

200 - x = 180

x =

For more information, refer to the link given below:

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x = 20°

y = 30

Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

x = 20°

rounding to the nearest thousandth would be 452,000

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