Question

Find the missing angles e ,g ,f ​

Answer 1

Answer:

e=30° f=30° g=90°

Step-by-step explanation:

alternative angles are equal

angle ABE = angle BEF

2e+g=f (eq:1)

angle ABC =angle BCE=g

angle ABF= angle DFD

g+2e+e=120

g+3e=120 (eq 2)

angle made at straight line is 180

angle F=180-120=60

from ∆BEF

e+f+60=180

e+f=120 (eq a)

from ∆BCE

2e+g+f=180 (eq 3)

from eq 2

g+2e=120-e

sub in eq 3

120-e+f=180

-e+f = 60(eq b)

eq a + eq b

2f=180

f=90

f=90e=30

f=90e=30g=30