Question

In ∆ABC if ∠A = 2x°, ∠B = 3x° and ∠c = 4x° then find ∠A and ∠C​

Answer 1

Answer:

A=40° and C=80°

Step-by-step explanation:

A+B+C = 180° [sum of angles of a triangle is 180°]

or, 2x°+3x°+4x° = 180°

or, 9x° = 180°

or, x = 180°/9°

•°• x = 20°

Now,

A = 2x° = 2×20° = 40°

C = 4x° = 4×20° = 80°

Answer 2

Solution :-

Given ,

• ∠A = 2x°
• ∠B = 3x°
• ∠C = 4x°

We need to find ,

• ∠A & ∠C

Using angle sum property of triangle

→ ∠A + ∠B + ∠C = 180°

→ 2x° + 3x° + 4x° = 180°

→ 9x° = 180°

→ x° = 180°/9

→ x = 20°

Now substituting the value of x in ∠A = 2x° & ∠C = 4x°

• ∠A = 2x° = 2 ( 20° ) = 40°

• ∠C = 4x° = 4 ( 20° ) = 80°

Hence , ∠A = 40° & ∠C = 80° .