Question

16. In the figure below, vertices D and F of ADEF lie on

CG, the measure of ZCDE is 148°, and the measure of
ZEFG is 140°. What is the measure of ZDEF?
E
?
140°
148°
D
C
F 720
G. 989
H. 100°
J. 108°
K. 116°

Answer 1

J. 108°

Explanation:

m<EDF = 180 - 148 = 32° (angles on a straight)

m<EFD = 180 - 140 = 40°(Angles in a straight line)

m<DEF = 180 - (m<EDF + m<EFD) (sum of triangle)

m<DEF = 180 - (32 + 40)

m<DEF = 180 - 72

m<DEF = 108°