Question

current skill 1 show answer request
find the measure of angle 7.

Explanation:

Step1: Find the value of \(x\)

Since \(-9x + 171\) and \(6x+39\) are vertical angles, they are equal.

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Step2: Find the measure of \(6x + 39\)

Substitute \(x = 8.8\) into \(6x+39\)

$$6x+39=6\times8.8 + 39=52.8+39 = 91.8$$

Step3: Find the measure of angle \(7\)

Angle \(7\) and \(6x + 39\) are supplementary (they form a linear - pair). Let \(m\angle7=y\)

$$y+(6x + 39)=180$$

Since \(6x + 39=91.8\)

$$y=180-(6x + 39)=180 - 91.8=88.2$$

Answer:

\(88.2^{\circ}\)