Q. 31

# Side BC of ΔABC has been produced to D on left hand side and to E on right hand side such that ∠ABD = 125° and ∠ACE = 130°. Then ∠A = ?

A. 65°

B. 75°

C. 50°

D. 55°

Answer :

ABD + ABC = 180 (Linear pair of angles)

ABC = 180^{o} – 125^{o}=55^{o}

ACE + ACB = 180 (Linear pair of angles)

ACB = 180^{o} – 130^{o}=50^{o}

As we know that

ACB + ABC + BAC = 180^{o}

BAC = 180 – 55 – 50

=75^{o}

Rate this 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 = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, AB || CD. If ∠EAB = 50° and ∠ECD = 60°, then ∠AEB = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, x = ?

RS Aggarwal & V Aggarwal - Mathematics

The angles of a triangle are in the ratio 3:2:7. Find the measure of each of its angles.

RS Aggarwal & V Aggarwal - MathematicsIn ΔABC, ∠B = 90° and BD ⊥ AC. Prove that ∠ABD = ∠ACB.

RS Aggarwal & V Aggarwal - Mathematics

In ΔABC, BD ⊥ AC, ∠CAE = 30° and ∠CBD = 40°. Then ∠AEB = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, ∠BAC = 30°, ∠ABC = 50° and ∠CDE = 40°. Then ∠AED = ?

RS Aggarwal & V Aggarwal - Mathematics

In a ΔABC its is given that ∠A : ∠B : ∠C = 3 : 2 : 1 and CD ⊥ AC. Then ∠ECD = ?

RS Aggarwal & V Aggarwal - Mathematics

Side BC of ΔABC has been produced to D on left hand side and to E on right hand side such that ∠ABD = 125° and ∠ACE = 130°. Then ∠A = ?

RS Aggarwal & V Aggarwal - Mathematics

An exterior angle of a triangle is 110° and one of its interior opposite angles is 45°, then the other interior opposite angle is

RS Aggarwal & V Aggarwal - Mathematics