Question

1. solve for x

Explanation:

Step1: Use property of quadrilateral angles

The sum of interior angles of a quadrilateral is 360°. So, 76 + 104+104+(25x + 1)=360.

Step2: Simplify the left - hand side

First, add the known angles: 76+104 + 104=284. The equation becomes 284+(25x + 1)=360, which simplifies to 25x+285 = 360.

Step3: Isolate the variable term

Subtract 285 from both sides of the equation: 25x=360 - 285. So, 25x=75.

Step4: Solve for x

Divide both sides by 25: x = $\frac{75}{25}$.

Answer:

x = 3