Question

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

Answer 1

Answer:

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°