Question

In AFGH, m/F = (3x - 15)°, m/G = (8x + 8)°, and m/H = (2x + 18)°.
What is the value of x?

Answer 1

In a triangle, the sum of the three angles is always 180°.

So, we can write the equation:

m/F + m/G + m/H = 180°

Substituting the given values:

(3x - 15)° + (8x + 8)° + (2x + 18)° = 180°

Simplifying and solving for x:

13x + 11 = 180

13x = 169

x = 13

Therefore, the value of x is 13.