Friday

August 1, 2014

August 1, 2014

Posted by **Mona** on Thursday, January 31, 2013 at 6:54pm.

1.) Given: triangle ABC ~ triangle XYZ, m<A= 50 degrees, m<X= (2x +5y) degrees, m>Z=( 55 + y) degrees, and that m<B=(102-x) degrees. Find m<Z.

Thanks.

- Geometry-8th gr -
**Reiny**, Thursday, January 31, 2013 at 7:32pmIn similar triangles, the corresponding angles are equal, so angle A = angle x

2x+5y = 50

in triangle ABC, angle C = 180 - 50 - (102 - x)

= 28+x

then angle C = angle Z

28+x = 55+y

x - y = 27 or y = x-27

sub that into the 1st equation

2x + 5(x-27) = 50

7x = 50+135

x = 185/7 °

then y = 185/7 - 27 = -4/7

**something quite wrong here !**

I assumed you listed the points in corresponding order, so

angle A = angle X

angle B = angle Y

angle C = angle Z

that is why I had to first find angle C

- Geometry-8th gr -
**Reiny**, Thursday, January 31, 2013 at 7:37pmahhh, but y is not the size of the angle, Z is

angle Z = 55 + y

= 55 - 4/7 = 381/7° or appr 54.4°

check:

angle C = 28+x = 28+185/7 = 54.4°

- Geometry-8th gr -
**Mona**, Friday, February 1, 2013 at 11:47amThanks!

**Related Questions**

Geometry -8th gr - Given: triangle ABC ~ triangle PQR, m<A = 75 degrees, m<...

Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...

HELP!!!!RIGHT NOW!!!! - Which set of side lengths shows similar triangles? (1 ...

Math - Which set of side lengths shows similar triangles? Triangle ABC : 40, 20...

Math - 1. Find the value of Sin^-1(-1/2) a. -30 degrees b. 30 degrees c. 150 ...

geometry - Given AB is perpendicular to BC <ABO= (2x + y)degrees <OBC= (6x...

Math - In triangle XYZ, |XY|= 8 cm and |YZ|=6m. The area of triangle XYZ is 12cm...

Math - In triangle XYZ, |XY|= 8 cm and |YZ|=6m. The area of triangle XYZ is 12cm...

Math - In triangle XYZ, |XY|= 8 cm and |YZ|=6m. The area of triangle XYZ is 12cm...

PLEASE HELP!!!!! (Right Triangle Question) - Point N is on hypotenuse BC of ...