Answer:
The measures of the two angles are 72° and 108°
Step-by-step explanation:
Let us revise the meaning of supplementary angles.
The supplementary angles are the angles whose sum of measures
equal to 180°
∵ The ratio between the two supplementary angles is 2 : 3
∵ The sum of the supplementary angles is 180°
→ Let us use the ratio method to solve the question
⇒ ∠1 : ∠2 : ∠1 + ∠2
⇒ 2 : 3 : 5 (2 + 3)
⇒ ? : ? : 180
By using cross multiplication
∵ ∠1 = (2 × 180) ÷ 5
∴ ∠1 = 360 ÷ 5
∴ ∠1 = 72°
∵ ∠2 = (3 × 180) ÷ 5
∴ ∠2 = 540 ÷ 5
∴ ∠2 = 108°
∴ The measures of the two angles are 72° and 108°
