Question

current skill 1 -5x + 113 4 6 8 1 3 8x + 43 7 find the measure of angle 7. label optional 2 game credits

Explanation:

Step1: Identify angle - pair relationship

Assume the two lines are parallel. Angles - 5x + 113 and 8x + 43 are corresponding angles (or alternate - exterior angles if applicable), and they are equal.
$-5x + 113=8x + 43$

Step2: Solve the equation for x

First, move the x - terms to one side:
$113−43 = 8x+5x$
$70 = 13x$
$x=\frac{70}{13}$

Step3: Find the measure of an angle related to angle 7

Let's assume we use the linear - pair relationship. If we find the measure of the angle adjacent to angle 7 (say the angle with the expression 8x + 43), we can find angle 7.
Substitute $x = \frac{70}{13}$ into $8x + 43$:
$8\times\frac{70}{13}+43=\frac{560}{13}+43=\frac{560 + 559}{13}=\frac{1119}{13}\approx86.08$
Angle 7 and the angle with measure 8x + 43 are supplementary (a linear - pair), so the measure of angle 7 is $180-(8x + 43)$.
Substitute $x=\frac{70}{13}$:
$180-\frac{1119}{13}=\frac{2340 - 1119}{13}=\frac{1221}{13}\approx93.92$

Answer:

$\frac{1221}{13}$ (or approximately 93.92 if a decimal answer is preferred)