Question
Download Solution PDFIn a triangle ABC, BD is perpendicular to AC. E is a point on BC such that angle BEA = xº. If angle EAC = 38º and angle EBD = 40º, then the value of x is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∠BEA = x°, ∠EAC = 38°, ∠EBD = 40°
Calculation:
In ΔBDC
⇒ 40° + 90° + ∠C = 180° (sum of all the angles in a triangle is 180°)
⇒ ∠C = 50°
In ΔAEC
⇒ 38° + 50° + ∠AEC = 180°
⇒ ∠AEC = 92°
Now,
⇒ x° + 92° = 180° (angles on a straight line)
⇒ x° = 88°
Last updated on Jun 26, 2025
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