# Algebra Alley(MATH)

posted by .

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) -

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

## Similar Questions

1. ### math trigg.

which triangles do you use COS SIN or TAN?
2. ### math

It is a proof. Given: line DB bisects line AC line AD is parallel to line BE AD=BE Prove: DB=EC there are two triangles connected together by point B. They are labled A D B and B E C. D and E are the top points of the triangles. they …
3. ### Math Question

Which one of the following pairs of triangle must be similar?
4. ### geometry

If you had two triangles, triangle RST and triangle UVW, and in triangle RST angle R= angle S= angle T and in triangle UVW angle U= angle V= angle W, is there enough information to prove that the triangles are congruent?
5. ### Math

Triangle ABC and RST are similar triangles. A=2(x+15)^0,angle S= 3x^0 and angle C=x^0. What are the correct measures of angle B,R,and T?
6. ### geometry

Triangles ABC and PQR are similar with m angle A = m angle P and m angle B = m angle Q. If AB, BC, and AC are 3, 4, and 5 ft long respectively and QR is 10 ft, find PQ.
7. ### geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of …
8. ### Geometry Are these two triangles similar? Thanks!

Are these two triangles similar? How do you know?
9. ### help me pls geometry

Which tirangles must be similar 1. Two right triangles with a congruent acute angle 2. Two obtuse angles 3 Two isosceles triangles with congruent bases 4. Two scalene triangles with a congruent angle
10. ### Math

The figure below shows two triangles. Which statement about the triangles is true?

More Similar Questions