in triangle ABC, angle b is 5 more than twice angle A and angle C iss 35 less than three times angle A. Find the angles of triangle ABC
GEOMETRY (Angles) PLEASE - MathMate, Saturday, August 24, 2013 at 6:57am
You'd have to set up equations.
First, let a=angle A, b=angle B and c=angle C, all in degrees.
(Note: in solving math problems, it is important to define all symbols/variables used, including the units).
We are given:
"angle b is 5 more than twice angle A" which translates to:
"angle C is 35 less than three times angle A" which means:
Finally, we know from basic geometry that the sum of angles of a triangle is 180°, so
Using the three equations, we can solve for a by substitution, i.e.
Substitute values of b and c from (1) and (2) into equation (3) and solve for the value of a.