NEED UR HELP PLEASE 30 POINT...

What is the value of n, w, x, and z in the trapezoid shown below if the latex-b5204736c7c0cd89e5168153c1ba1838_57add35aabbcb.png and p = 27 degrees and y = 25 degrees. n = degrees, w = degrees, x = degrees, and z = degrees.

NEED UR HELP PLEASE 30 POINT What is the value of n w x and z in the trapezoid shown below if the latexb5204736c7c0cd89e5168153c1ba183857add35aabbcbpng and p 27 class=

Respuesta :

∠ABC = 101°(given) so y + x = 101°: 25° + x = 180° → x = 76°
p & w are alternate interior angles so are congruent: w = p = 27°
y & z are alternate interior angles so are congruent: z = y = 25°
z, w, E is a triangle so sum is equal to 180°:  25° + 27° + E = 180°→ E = 126°
E & e are supplementary so sum is equal to 180°: 126° + e = 180°→ e = 54°
x, e, n is a triangle so sum is equal to 180°: 76° + 54° + n = 180°→ n = 50°

Answer: n=50°, w=27°, x=76°, z=25°