Question

what is the value of x? 27
find the measure of angle 7. label optional

Explanation:

Step1: Use supplementary angle property

$3x + 17 + 3x + 1 = 180$

Step2: Simplify and solve for x

$6x + 18 = 180$
$6x = 162$
$x = 27$

Step3: Identify angle 7's congruent angle

Angle 7 is congruent to $3x+1$ (vertical angles)

Step4: Substitute x to find angle 7

$3(27) + 1 = 81 + 1 = 82$

Answer:

$x = 27$
Measure of angle 7: $82^\circ$