Question

x + 30° x + 10° G н K Which equation can be used to determine the value of x?

Answer 1

Answer:

B. 2x + 40 = 180

Explanation:

The angles GHI and KHI form a straight line. It means that the sum of them is equal to 180. So, we can write the following equation:

$\angle GHI+\angle KHI=180$

Now, we can replace ∠GHI = x + 30 and ∠KHI = x + 10 to get:

$\begin{gathered} (x+30)+(x+10)=180 \\ x+30+x+10=180 \\ 2x+40=180 \end{gathered}$

Therefore, the answer is:

B. 2x + 40 = 180