please answer me the circle one
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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°