Question

please please tell me ........​

Answer 1

Let us mark the mid point as O

Answer:

Value of x is 45°

Given :

• AB || CD
• ∠ABE = 75°
• ∠DEO = 30°

To Find:

• Measure of x

So, ∠ABE and ∠COE are corresponding angles.

⟹ ∠ABE = ∠COE

⟹ 75° = ∠COE

∠COE and ∠EOD are on a line.

∠COE + ∠EOD = 180° ( Linear pair )

⟹ 75° + ∠EOD = 180°

⟹ ∠EOD = 180° - 75°

⟹ ∠EOD = 105°

∠EOD, ∠ODE and ∠DEO are the three angles of the ∆EOD, So

⟹ ∠EOD + ∠ODE + ∠DEO = 180°

⟹ 105° + x + 30° = 180°

⟹ 135° + x = 180°

⟹ x = 180° - 135°

⟹ x = 45°

Measure of x is 45°