Answer:
The number of degree in the measure of the largest angle is 108
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is 180°
∵ The angle measures of the three angles of a triangle are in
the ratio 1 : 3 : 6
∴ The sum of the ratio = 1 + 3 + 6 = 10
∵ The sum of the measures of the interior angles of a triangle = 180°
- Let us use the ratio method
→ ∠1 : ∠2 : ∠3 : sum
→ 1 : 3 : 6 : 10
→ x : y : z : 180°
By using cross multiplication
∵ 10 × x = 1 × 180
∴ 10 x = 180
- Divide both sides by 10
∴ x = 18
∴ m∠1 = 18°
∵ 10 × y = 3 × 180
∴ 10 y = 540
- Divide both sides by 10
∴ y = 54
∴ m∠2 = 54°
∵ 10 × z = 6 × 180
∴ 10 z = 1080
- Divide both sides by 10
∴ z = 108
∴ m∠3 = 108°
The number of degree in the measure of the largest angle is 108
