Question

What is the value for x?
Enter your answer in the box.

Answer 1

5

Explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

`73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=(30)/(6)\\x=5`