Question

fill in the blank 4 points in the following picture, x = type your answer...

Explanation:

Step1: Set up equation

Assume the two angles are complementary (since no other angle - relationship is indicated, and they seem to form a right - angle like situation). Complementary angles add up to 90 degrees. So, we have the equation \(4x + 40+3x=90\).

Step2: Combine like terms

Combine the \(x\) terms on the left - hand side: \((4x + 3x)+40 = 90\), which simplifies to \(7x+40 = 90\).

Step3: Isolate the variable term

Subtract 40 from both sides of the equation: \(7x+40 - 40=90 - 40\), resulting in \(7x = 50\).

Step4: Solve for \(x\)

Divide both sides by 7: \(x=\frac{50}{7}\approx7.14\).

Answer:

\(x = \frac{50}{7}\)