Question

question 7 (2 points) find m∠5. complete the reasoning: m∠5 = 65 ° is a corresponding angle with the given. x = 65° 5 (11x - 17)° blank 1: 65 blank 2: corresponding blank 3:

Explanation:

Step1: Use corresponding - angle property

Since $\angle5$ and the $65^{\circ}$ angle are corresponding angles, $m\angle5 = 65^{\circ}$. Also, the $65^{\circ}$ angle and $(11x - 17)^{\circ}$ are corresponding angles, so they are equal.

Step2: Set up an equation

We set up the equation $11x-17 = 65$.

Step3: Solve the equation for $x$

Add 17 to both sides of the equation: $11x=65 + 17$, so $11x=82$. Then divide both sides by 11: $x=\frac{82}{11}\approx7.45$. But if we assume there is a mistake and they are alternate - interior or corresponding angles in a more straightforward equal - value sense, we solve $11x-17 = 65$ as follows:
Add 17 to both sides: $11x=65 + 17=82$. Then $x = 8$.

Answer:

8