Question

Find the values of x and y in the diagram.

Answer 1

x = 3

y = 10

Explanation:

In triangle KLN, measure of all angles are equal.

Therefore, it is an equilateral triangle.

All sides of an equilateral triangle are equal.

So,

y - 4 = 6

y = 6 + 4

y = 10

In triangle LMN, measures of angles M and N are equal, Therefore,

LM = LN

x + 3 = y - 4

x + 3 = 10 - 4

x + 3 = 6

x = 6 - 3

x = 3