Question

Find the measure of the missing angles

Answer 1

e=41° d=90° f=139°

Explanation:

for angle e

alternative angles are equal so

41°=e

for angle d

sum of angles in a straight line is 180

d+90=180

d=180-90

d=90°

for angle f

sum of angles on a point is 360

since alternate angles are equal the side where there is no f becomes f

unlabeled angle =f

41+e+f+unlabeled angle=360

remember:we said. unlabeled angle=f and e=41

so

41+41+f+f=360°

82+2f=360

C.L.T

2f=360-82

2f=278°

divide both sides by 2

f=139°