Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x: 7x + 156° 9x + 184° x =

Question

solve for x: 7x + 156° 9x + 184° x =

Explanation:

Step1: Use linear - pair property

The two angles $(9x + 184)^{\circ}$ and $(7x+156)^{\circ}$ are a linear - pair, so their sum is $180^{\circ}$.
$(9x + 184)+(7x + 156)=180$

Step2: Combine like terms

$9x+7x+184 + 156=180$
$16x+340 = 180$

Step3: Isolate the variable term

Subtract 340 from both sides:
$16x=180 - 340$
$16x=-160$

Step4: Solve for x

Divide both sides by 16:
$x=\frac{-160}{16}$
$x=-10$

Answer:

$-10$