Posted by **Bionca** on Monday, September 20, 2010 at 8:00pm.

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?

- Algebra Alley(MATH) -
**Thomas**, Sunday, September 25, 2016 at 11:29pm
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

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