Question

In the figure 10.13, ZA = 75° and CE || AB. If ZECD = 40°, find the other two angles
of the triangle ABC.
А
E
75
40
B
С
D
Fig. 10.13​

Answer 1

Answer:

ABC° = 40°

ACE° = 65°

Step-by-step explanation:

CE || AB

So ABC° = ECD° = 40°

ABC° = 40°

ABC°+BAC°+ACB° = 180°

40°+75°+ACB° = 180°

ACB°+115° = 180°

ACE° = 180° - 115°

ACE° =65°