Problema Solution
The third angle in an isosceles triangle is 20 more than 3 times as large as each of the two base angles. Find the measure of each angle.
Answer provided by our tutors
Let
a = the base angles
b = the third angle
Since they are angles of a triangle we have
a + a + b = 180 (the sum of the angles in a triangle is 180)
2a + b = 180
The third angle is 20 more than 3 times as large as each of the two base angles:
b = 20 + 3a
We have the following system of equations:
2a + b = 180
b = 20 + 3a
........
click here to see the system of equations solved for a and b
........
a = 32
b = 116
The measures of the angles are: the base angles are 32 each while the third angle is 116.