Question

FEAR is an isoscles trapezoid.
Determine the measures of a, b, c, d, e

(See the image below)

Answer 1

First, b= 26degrees, why? because of:

a line intersecting 2 parallel lines, the 2 angles marked in the diagram are the same.
Thus b = 26degrees.

<FER is also 26degrees.
Thus, e= 180-26-26 =128degrees (total sum of angles in triangle = 180)

<FEA = 26+108 = 134 degrees
Thus, <EAR = 180-134 = 46degrees.
d = 46-26= 20degrees. ( wait hold on is angle d is <EAR or <EAF???)

since <EAF= c, c = 20degrees.

<REA = a, a=108degrees.

Answer 2

d is on <EAF

Answer 3

okay so c and d are the same angles, take note.

Answer 4

thanks :D

Answer 5

Np!