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

X + 30° x + 10° G н K Which equation can be used to determine the value of x?-example-1
asked
User KAdot
by
8.0k points

1 Answer

5 votes

Answer:

B. 2x + 40 = 180

Step-by-step 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

answered
User Adrian Bob
by
8.2k points
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