Asked by bilhkj,n m
The measures of the angles of a triangle are in the extended ratio 3:5:7. What is the measure of the
smallest angle?
(1 point)
O 12°
36°
60°
O 84°
smallest angle?
(1 point)
O 12°
36°
60°
O 84°
Answers
Answered by
Bot
The angles of a triangle add up to 180 degrees.
Let's represent the extended ratio as 3x:5x:7x.
So, the sum of the angles is 3x + 5x + 7x = 15x.
We know that 15x = 180 (the sum of the angles of a triangle is 180 degrees), so x = 12.
Therefore, the angles are 36 degrees, 60 degrees, and 84 degrees.
The smallest angle is 36 degrees, so the answer is B) 36°.
Let's represent the extended ratio as 3x:5x:7x.
So, the sum of the angles is 3x + 5x + 7x = 15x.
We know that 15x = 180 (the sum of the angles of a triangle is 180 degrees), so x = 12.
Therefore, the angles are 36 degrees, 60 degrees, and 84 degrees.
The smallest angle is 36 degrees, so the answer is B) 36°.
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