In triangle ABC, BD ⊥AC at D. E is a point on BC such that ÐBEA = x0, if ÐEAC =36" and ÐEBD= 40°, then the value of x is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 86°.
∠EBD = 32°
∠EAC = ∠DAC = 36°
BD ⊥ AC ⇒ ∠DBA = 90° − 36° = 54°
∠BEA = ∠EBD + ∠DBA = 32° + 54° = 86°