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) =](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ynpp3drhbsdehtjuktuu3g41qu1tpiuuo0.png)
First remove the parenthesis.
![43 + x + x - 1 =](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b06wwo8t1h4i0powlhlcjknor9pxwx5nc4.png)
Now collect the common terms.
![44 + 2x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lheaxpycwkjjhzll7d9zqwsh3hw4r9xbk5.png)
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](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7e6b4pf0rla5rg81akdnkbgn7hb5fx890z.png)
Start the solving by subtracting 42 from both sides.
![2x = 138](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ejyuusqgryce84xdq60z2ulkv2c3uldq2h.png)
And finally divide by 2.
![x = 69](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uix0sywuqrqu68tvr0lbd1tdhsuge47dr1.png)
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](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yln61ohwfy3ofangia0tw6q9lb4auje6vp.png)
Hence, the answer is C. 68°
~ Hope this helps you!