Question

question 4: in the diagram with intersecting lines (horizontal and diagonal), one angle is ( 77^circ ) and another angle is ( (10x - 3)^circ ). solve for ( x ). (diagram shows intersecting lines forming these angles)

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \(10x - 3 = 77\).

Step2: Solve for x

Add 3 to both sides: \(10x = 77 + 3 = 80\).
Divide by 10: \(x = \frac{80}{10} = 8\).

Answer:

\(x = 8\)