A triangle has two angles with ratio of 4:3, and the third angle is the sum of the first two.
A triangle has two angles with ratio of 4:3, and the third angle is the sum of the first two. Find the smallest angle of the triangle in degrees.
Answer/Solution
270/7
Steps/Work
The angles are 4x, 3x, and (4x+3x) = 7x for some value x
the three angles of a triangle add up to 180, so
4x+3x+7x=180
14x=180
x=180/14
x=90/7
the smallest angle is 3x = 3*(90/7) = 270/7
B
the three angles of a triangle add up to 180, so
4x+3x+7x=180
14x=180
x=180/14
x=90/7
the smallest angle is 3x = 3*(90/7) = 270/7
B