Q15 of 34 Page 170

In a triangle ABC, ∠B = 50° and ∠A = 60°. Suppose BC is extended to D. Find ∠ACD.


It is given that in ∆ ABC,


∠B = 50° and ∠A = 60°


Here, ∠ACD is an external angle. We know that an exterior angle of a triangle is always larger than either of the interior opposite angles.


⇒ ∠ACD = ∠A + ∠B = 50° + 60° = 110°


More from this chapter

All 34 →
13

In a triangle, each of the smaller angles is half the largest angle. Find the angles.

 14

In a triangle, each of the bigger angles is twice the third angle. Find the angles.

 16

In an isosceles triangle, the vertex angle is twice the sum of the base angles. Find the angles of the triangle.

 17

Find the sum of all the angles at the five vertices of the adjoining star.