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y (7x + 26)° (10x - 25)°

Question

y (7x + 26)° (10x - 25)°

Explanation:

Step1: Set up equation

Assume the two angles are corresponding angles (if the lines are parallel) or vertical - angles, so they are equal. Set $7x + 26=10x - 25$.

Step2: Isolate x - terms

Subtract $7x$ from both sides: $26 = 10x-7x - 25$, which simplifies to $26 = 3x - 25$.

Step3: Isolate the constant

Add 25 to both sides: $26 + 25=3x$, so $51 = 3x$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{51}{3}=17$.

Answer:

$x = 17$