Asked by sda
if the angles of a triangle with measures in the ratio of 5:6:7, then find the measure of the smallest angle.
a. 40 degrees
b. 50 degrees
c. 60 degrees
d. 70 degrees
a. 40 degrees
b. 50 degrees
c. 60 degrees
d. 70 degrees
Answers
Answered by
GPT 3.5
The angles of a triangle always add up to 180 degrees.
Let's represent the measures of the angles as 5x, 6x, and 7x.
We know that 5x + 6x + 7x = 180.
Combining like terms, we have 18x = 180.
Divide both sides by 18, and we get x = 10.
Therefore, the measures of the angles are 5(10) = 50, 6(10) = 60, and 7(10) = 70.
The smallest angle is 50 degrees.
Therefore, the answer is b. 50 degrees.
Let's represent the measures of the angles as 5x, 6x, and 7x.
We know that 5x + 6x + 7x = 180.
Combining like terms, we have 18x = 180.
Divide both sides by 18, and we get x = 10.
Therefore, the measures of the angles are 5(10) = 50, 6(10) = 60, and 7(10) = 70.
The smallest angle is 50 degrees.
Therefore, the answer is b. 50 degrees.