We are given that the sum of the measures of angle K and angle J is 180°. We can set up the equation as follows:
\[ \text{Angle K} + \text{Angle J} = 180° \]
Given:
- \(\text{Angle K} = 100°\)
- \(\text{Angle J} = (3x + 5)°\)
Substituting the values into the equation:
\[ 100 + (3x + 5) = 180 \]
Now, simplify the equation:
\[ 100 + 3x + 5 = 180 \]
Combine like terms:
\[ 105 + 3x = 180 \]
Next, subtract 105 from both sides:
\[ 3x = 180 - 105 \]
\[ 3x = 75 \]
Now, divide both sides by 3 to solve for \(x\):
\[ x = \frac{75}{3} \]
\[ x = 25 \]
The value of \(x\) is 25. Since this value is not listed among the provided responses, it seems the responses given (A, B, C, D) aren't correct based on the calculations. Please check the options or provide further context.
2 answers