Question

6. Find the value of x. (HINT: Find the missing angles inside the triangle first)

Answer 1

Answer:

x=120°

Step-by-step explanation:

First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.

A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.

This means that we now know ∠BAC is 60°.

Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.

If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.

x=120°