Question

1. what is the value of x? ans. 19. name a pair of vertical angles. a) <cob and <aod b) <cob and <coa c) <bod and <cob d) <aod and <aoc

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angles \(74^{\circ}\) and \(2x^{\circ}\) are vertical angles, so \(2x = 74\).

Step2: Solve for \(x\)

Divide both sides of the equation \(2x = 74\) by 2. We get \(x=\frac{74}{2}=37\).

For question 19:
Vertical angles are formed when two lines intersect. They are opposite each other. In the case of two intersecting lines \(AB\) and \(CD\) intersecting at \(O\), \(\angle COB\) and \(\angle AOD\) are vertical angles, and \(\angle COA\) and \(\angle BOD\) are vertical angles.

Answer:

1. \(37\)
2. a) \(\angle COB\) and \(\angle AOD\)