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4 votes
In FGH, what is the measure of H?

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

In FGH, what is the measure of H? A. 42 B. 43 C. 68 D.69-example-1

2 Answers

5 votes

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°

User Benjamin Jimenez
by
4.7k points
1 vote
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!


User Ruben Vermeersch
by
6.0k points
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