Question

In the fig given below DE||BC find the value of x​

Answer 1

Answer attached in pic.

Answer 2

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 ΔABC,

∠A+ ∠B+ ∠C =180° (Angle Sum Property)

⇒ x + 50° + 85° = 180°

⇒ x + 135° = 180°

⇒ x = 180° - 135°= 45°

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