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solve for x to make a||b. a (4x + 41)° b (6x + 19)° x = ?

Question

solve for x to make a||b.
a
(4x + 41)°
b
(6x + 19)°
x = ?

Explanation:

Step1: Identify angle relationship

When lines A and B are parallel, the given angles are supplementary (sum to 180°).

Step2: Set up equation

$$4x + 41 + 6x + 19 = 180$$

Step3: Simplify the equation

$$10x + 60 = 180$$

Step4: Solve for x

$$10x = 120 \implies x = 12$$

Answer:

12