Q22 of 186 Page 263

In ΔABC it is given that . If ∠B = 70° and ∠C = 50° then ∠BAD = ?

It is given that in Δ ABC,



∠B = 70° and ∠C = 50°


∠A = 180° – (70° + 50°) (∠ sum property of triangle)


= 180° - 120°


= 60°


Since,


∴ AD is the bisector of ∠A


Hence, ∠BAD = 60°/2 = 30°

More from this chapter

All 186 →
20

The line segments joining the midpoints of the adjacent sides of a quadrilateral form

 21

If the bisector of an angle of a triangle bisects the opposite side then the triangle is

 23

In ΔABC, DE || BC so that AD = 2.4 cm, AE = 3.2 cm and EC = 4.8 cm. Then, AB = ?

 24

In a ΔABC, if DE is drawn parallel to BC, cutting AB and AC at D and E respectively such that AB = 7.2 cm, AC = 6.4 cm and AD = 4.5 cm. Then, AE = ?