Question

Find the value of x ​

Answer 1

68°

Explanation:

DE ║ BC

So, ∠DBC = ∠ADE = 62° (∵ Corresponding Angles are equal )

In triangle DEC ,

∠EDC+ ∠ECD = ∠AED (∵ Exterior Angle Sum Property of a triangle )

⇒ ∠AED = 23° + 27° = 50°

Now in triangle AED ,

∠EAD + ∠ADE + ∠AED = 180°

⇒ x° + 62° + 50° = 180°

⇒x° = 180° - 112° = 68°

Answer 2

x = 68°

Explanation:

∠ DCB = ∠ EDC = 27° ( alternate angles )

Thus ∠ ECB = 23° + 27° = 50°

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (62 + 50)° = 180° - 112° = 68°