Question

Can someone check my answers to see if they're correct?

A= 75°
B= 105°
C= 105°
D= 105°
E= 75°
F= 105°

Answer 1

a = 125°

b = 55°

c = 55°

d = 55°

e = 125°

f = 55°

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)