Question

In AGHI, GI is extended through point I to point J, mZIGH (x + 16)°, m_HIJ = (4x – 12), and mZGHI = (x + 10)°. Find mZGHI.

Answer 1

Let's start by drawing the figure:

The sum of the angles of a triangle always equals 180°, then we can express the equation:

mAs you can see, the pair of angles

mmmm

Now that we know that m

m(192 -4x)° + (x + 16)° + (x+10)° = 180°

We can solve for x, from this equation, like this:

(192 -4x)° + (x + 16)° + (x+10)° = 180°

192 + 16 + 10 - 4x + x + x =180°

218 - 2x = 180°

2x = 218 - 180

2x = 38

x = 38/2

x = 19

Now that we know the value of x, we can replace it into the formula of mmm

Then, the measure of the angle