Question

In △ABC,

• A. 25
• B. 42
• C. 45
• D. 50

Answer 1

Answer:

B. 42

<C = 54° and <EAC = 42°, So <AEC = 84°

(sum of all angles of triangle = 180º)

:. <BEA = 180 - 84 = 96°

: DE bisects AB perpendicularly, so angle made by BD and DA should be equal.

:: <DBE + <BED + <EDB = 180°

:: <DBE + 96/2 + 90 = 180

:. <ABC = <DBE = 180 - 90 - 48 = 42°