Question

In FGH, what is the measure of H?

A. 42
B. 43
C. 68
D.69

Answer 1

43+x+x-1=180

(first solve for X)

43+2x-1=180

42+2x=180

2x=138

x=69

(now plug in the value of X)

69-1=68

m<H=68°

Answer 2

Hi there!

The sum of the angles in a triangle always adds up to 180°.

We can also make a mathematical expression to find the sum of the angles. Let's add the angles.


$43 + x + (x - 1) =$
First remove the parenthesis.

$43 + x + x - 1 =$
Now collect the common terms.

$44 + 2x$
We've now found our expression that expresses the sum of the angles. Since the sum of these angles also equals 180°, we can set up an equation.

$42+ 2x = 180$
Start the solving by subtracting 42 from both sides.

$2x = 138$
And finally divide by 2.

$x = 69$
The value of x in the triangle is therefore 69°.

Now we can easily find the measure of angle H, by plugging in 69° in the expression that indicates the measurement of H.
$x - 1 = 69 - 1 = 68$


Hence, the answer is C. 68°
~ Hope this helps you!