Find the value of x.

180 = (8x-30 ) + y y is the other angle to make the straight line
y= 180 - (8x-30)
y=180 - 8x +30
y = 210-8x
180 = (x-5) + (4x+26) +y the three angles of a triangle
180 = x-5 +4x+26 + 210-8x
180 = -3x +210
-30 = -3x
10 = x
Answer:
(D) 17
Step-by-step explanation:
Use the Exterior Angle Theorem.
Add the two interior angles and place it equal to the exterior angle
8x - 30 = x - 5 + 4x + 26
Combine like terms
8x - 30 = 5x + 21
Isolate the x. Subtract 5x from both sides and add 30 to both sides
8x (-5x) - 30 (+30) = 5x (-5x) + 21 (+30)
8x - 5x = 21 + 30
3x = 51
Isolate the x. Divide 3 from both sides
(3x)/3 = (51)/3
x = 51/3
x = 17
(D) 17 is your answer
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