In a ΔABC, BD⊥AC. E is a point on BC such that ∠BEA = x°. If ∠EAC = 38° and ∠EBD = 40°, then the value of x is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 88.
In ΔBDC, 40° + 90° + C = 180°
⇒ ∠C = 180° - 90° - 40° = 50°
In ΔAEC, 38° + 50° + ∠AEC = 180°
⇒ ∠AEC = 180° - 38° - 50° = 92°
Now, x + 92° = 180°
⇒ x = 88°