Algebra Alley(MATH)
posted by Bionca on .
Triangles ABC and RST are similar triangles. Angle A=2(x+15)^0 angle S=3x^0,and angle C=x^0. What are the measures of angles B,R,and T? What kind of triangles are they?

In similiar triangles <A = <R, <B = <S & <C = <T
< A = 2(x+15)
< B = 3x
< C = x
<A + <B + <C = 180^0
2(x+15) + 3x + x = 180
2x + 30 + 3x + x = 180
6x + 30 = 180
6x = 150
x = 25^0
<B = 3x = 3(25) = 75 degrees
<R = 2(x+15) = 2(25+15) = (2x40) = 80 degrees
<T = x = 25 degrees
Triangle ABC and RST are acute, scalene triangles