Question

Find the value of x. The diagram is not to scale. Lines f and g are parallel.

Answer 1

Lines f and g are parallel and the two angles are same-side angles, so they add up to 180 degrees. An equation for this would add up to 180, then solve for x to find the answer to the problem.

5x + (9x + 26) = 180, combine the like terms.

14x + 26 = 180, subtract 26 from both sides.

14x = 154, divide both sides by 14.

x = 11; so your answer is B. 11.

Answer 2

Answer:

Value of x is 11

Step-by-step explanation:

Given: Lines f & g are parallel.

To find: x

Figure is attached.

AB is Transversal line for parallel lines f & g.

∴ ∠CAB + ∠ABD = 180° ( Because Interior angle on the same side of Transversal are supplementary)

$\\\implies 5x + (9x+26) = 180\\\implies 14x + 26 = 180\\\implies 14x = 180 - 26\\\implies 14x = 154\\\implies x=\frac{154}{14}\\\implies x=11$

Therefore, value of x is 11.