Question

11)23, 24, and 25 are missing angles in the image below, what is the value of 23, 24, and 25? 23 = __ 24 = 25 = __

Explanation:

Step1: Find the value of ∠23

Since the two lines are parallel, ∠23 and the \(120^{\circ}\) angle are supplementary.

$$ \angle23 = 180^{\circ}- 120^{\circ}=60^{\circ} $$

Step2: Find the value of ∠24

∠24 and ∠23 are vertical angles. Vertical angles are equal.

$$ \angle24=\angle23 = 60^{\circ} $$

Step3: Find the value of ∠25

∠25 and ∠24 are supplementary.

$$ \angle25=180^{\circ}-\angle24=180^{\circ}-60^{\circ} = 120^{\circ} $$

Answer:

\(\angle23 = 60^{\circ}\), \(\angle24 = 60^{\circ}\), \(\angle25 = 120^{\circ}\)