Question
Download Solution PDFIn the figure given below, ∠ACB = 80°, ∠BAC = 45° and ∠BED = 75° then find the value of ∠BDE.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
∠ACB = 80°, ∠BAC = 45° and ∠BED = 75°
CONCEPT:
Sum of all the angles of a triangle = 180°
CALCULATION:
In ΔABC:
∠BAC + ∠ACB + ∠CBA = 180°
⇒ ∠CBA = 180° – 80° – 45° = 55°
So,
∠DBE = ∠CBA = 55° (Opposite angles)
Now,
∠BDE + ∠DEB + ∠DBE = 180°
⇒ ∠BDE = 180° – 75° – 55° = 50°
∴ ∠BDE = 50°
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