The sides BC, BA and CA of ΔABC have been produced to D, E and F respectively, as shown in the given figure. Then, ∠B = ?

Question

The sides BC, BA and CA of ΔABC have been produced to D, E and F respectively, as shown in the given figure. Then, ∠ B = ?

Philoid · Accepted Answer

BAC = 35^o (opposite pair of angles)

BCD = 180 – 110 = 70^o (linear pair of angles)

Now, in Triangle ABC we have,

A + B + C = 180^o

35 + B + 70 = 180

B = 180 – 105 = 75^o