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.
[tex]43 + x + (x - 1) = [/tex] First remove the parenthesis.
[tex]43 + x + x - 1 = [/tex] Now collect the common terms.
[tex]44 + 2x[/tex] 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.
[tex]42+ 2x = 180[/tex] Start the solving by subtracting 42 from both sides.
[tex]2x = 138[/tex] And finally divide by 2.
[tex]x = 69[/tex] 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. [tex]x - 1 = 69 - 1 = 68[/tex]
Hence, the answer is C. 68° ~ Hope this helps you!
