Question

Find the values of x and y.
2x 28 4y 28

Answer 1

y=7

x°=15°

Explanation:

First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7

Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°

Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°

so 2x°+(60°)=90°

simplify for x°

2x°=30°

x°=15°