Question

In the figure. (i) given below, DE || BC.Find the value of x.​

Answer 1

Answer:

45°

Step-by-step explanation:

Given DE||BC

=>∠C +∠E = 180°(Co-interior angles are supplementary)

=> ∠C + 95° = 180°

=>∠C = 180° - 95° = 85°

Now, In △ABC,

∠A + ∠B+ ∠C = 180° (Angle Sum Property)

=> x + 50° + 85° = 180°

=> x + 135° = 180°

=> x = 180° - 135°= 45°