Problema Solution
The third angle in an isosceles triangle is 8 degrees more than twice 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
2a + b = 180
the third angle in an isosceles triangle is 8 degrees more than twice as large as each of the two base angles
b = 8 + 2a
by solving the system of equations
2a + b = 180
b = 8 + 2a
we find
a = 43 degrees
b = 94 degrees
click here to see the step by step solution of the system of equations
the base angles are equal to 43 degrees.
the third angle is 94 degrees.