Answer:
a = 125°
b = 55°
c = 55°
d = 55°
e = 125°
f = 55°
Step-by-step explanation:
See the attached diagram.
The angles (x + 75)° and (2x + 25)° are the alternate angles and they are equal.
So, x + 75 = 2x + 25
⇒ x = 50
Hence, (x + 75)° = (50 + 75)° = 125°.
Now, from the given diagram it is clear that
a = (x + 75)° = (2x + 25)° = e = 125°
And, b = c = d = f = 55°
This is because, a and b are supplementary angles and their sum will be 180°.
So, a + b = 180°
⇒ 125° + b = 180°
⇒ b = 55°
So, b = c = d = f = 55° (Answer)
