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Sagot :
Answer:
- 120°, 50°, 10°
Step-by-step explanation:
Lets assume the smallest angle measure is x.
Then the largest angle is 12x and the middle angle is 5x.
We know that sum of interior angles of a triangle is 180°.
Set the following equation and solve for x:
- 12x + 5x + x = 180
- 18x = 180
- x = 10
The smallest angle is 10°.
The largest angle is:
- 12*10° = 120°
The middle angle is:
- 5*10° = 50°
Answer:
Smallest angle = 10°
Middle angle = 50°
Largest angle = 120°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
Let x = smallest angle
Given
- the largest angle is 12 times the smallest angle ⇒ 12x
- the middle angle is 5 times the smallest angle ⇒ 5x
x + 5x + 12x = 180
⇒ 18x = 180
⇒ x = 180 ÷ 18
⇒ x = 10
Smallest angle = x = 10°
Middle angle = 5x = 5 x 10 = 50°
Largest angle = 12x = 12 x 10 = 120°
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