Question

please answer me the circle one ​

Answer 1

Answer:

I have basic properties of parralel lines

∠a = 105°,  ∠b = 75°,   ∠c = 75°,   ∠d = 75°

Step-by-step explanation:

To find : ∠a, ∠b, ∠c, ∠d.

Contruction : ∠e( above 75° angle)

Soln:

1) ∠a + 75° = 180°

∴∠a = 180° - 75°   ...( property of linear angle )

∴∠a = 105°

2).∠e = ∠a   .....( property of opposite angles )

∵∠a = 105°

∴∠e = 105°

and,∠b = 180° - ∠e   ...( property of linear angle )

∴∠b = 180° - 105°

∴∠b = 75°

3).∠c = 75°    ......( property of alternate angles )

∴∠c = 75°

4).∠c = ∠d    .....( property of opposite angles )

∵∠c = 75°

∴∠d = 75°

                                                            OR

4).∠d = ∠b    ......( property of alternate angles )

∴∠b = 75°

∴∠d = 75°