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°
