Question

In triangle ABC angle A- angleB=24° and angleB-angleC=30°.Find angle A.​

Answer 1

• Step-by-step explanation:

hope it's helpful to u

Answer 2

Answer:

∠A = 86°

Step-by-step explanation:

Given :

In △ABC,

∠A - ∠B = 24°

∠B - ∠C = 30°

To find : ∠A

Solution :

∠A - ∠B = 24°

∠A = 24° + ∠B -----> Equation 1

∠B - ∠C = 30°

∠B - 30° = ∠C -------------> Equation 2

Angle sum property of triangle:

∠A + ∠B + ∠C = 180°

(Now put the values of ∠A and ∠C from Equations 1 & 2)

24° + ∠B + (∠B + 30°) = 180°

3∠B - 6° = 180°

3∠B = 180° + 6°

3∠B = 186°

∠B = 186° \ 3

∠B = 62°

Put ∠B value in Equation 1

∠A = 24° + ∠B

∠A = 24° + 62°

∠A = 86°

Answer : Thus, ∠A = 86°