Question

find the measure of the angles a, b, c ,d ,e, f, g and h from the given figure ​

Answer 1

Answer:

a=72vertical opp

f=a=72 correspondingf

f=g=72vetical opp.

c+d=180linear pair

d=108

d=b=e=h=108

Answer 2

Step-by-step explanation:

If angle c = 72°

Then, angle c + angle d = 180° ( as they are adjacent angles on a line )

c + d = 180°

Or, 72° + d = 180°

Or, d = 180° - 72°

Or, d = 108°

Also, angle b = angle d (108°)and angle c =angle a (72°)( as they are vertically opposite angles )

Now, 1. angle c = angle g ( 72°)

2. angle b = angle e (108°)

3. angle d = angle h (108°)

4. angle a = angle f (72°)

In 1,2,3.and 4, the angles are equal because they are corresponding angles.