If the measures of the angles of a triangle are in the ratio 1:3:5 , what is the measure in degrees of the smallest angle ?
a. 10
b. 20
c. 60
d. 180
thanks , and would be greatly appreciated if answered ASAP .
b.20
because
1:3:5
1+3+5=9
180/9=20
20:60:100
To find the measure of the smallest angle, we need to determine the ratio in which the angles are divided and then find the corresponding values.
Let's assume the measures of the angles are x, 3x, and 5x (since the ratio is 1:3:5). The sum of the angles in a triangle is always 180 degrees. So we can write the equation:
x + 3x + 5x = 180
Simplifying the equation, we get:
9x = 180
Dividing both sides of the equation by 9, we find:
x = 20
Now we know that the smallest angle has a measure of 20 degrees.
Therefore, the correct answer is b. 20.