Question

find the measure of angle 7. -8x + 170 7 6 5 4 3 x + 62 2

Explanation:

Step1: Identify angle - pair relationship

Assume the two horizontal lines are parallel. Angle 7 and the angle with measure \(x + 62\) are corresponding angles. So, \(-8x+170=x + 62\).

Step2: Solve the equation for \(x\)

Add \(8x\) to both sides: \(170=9x + 62\). Then subtract 62 from both sides: \(9x=170 - 62=108\). Divide both sides by 9: \(x = 12\).

Step3: Find the measure of angle 7

Substitute \(x = 12\) into the expression for the angle corresponding to angle 7 (\(x + 62\)). Angle 7 has the same measure as \(x + 62\). So, the measure of angle 7 is \(12+62=74\).

Answer:

74