Question

In ΔABC , ∠B = 5∠C and ∠A = 3∠C, FIND THE angles of the triangle

Answer 1

Given

• In ΔABC,
• ∠B = 5∠C and ∠A = 3∠C

To find

• All the angles of triangle,
• ∠A , ∠B , ∠C

Solution

• In ΔABC,
• ∠A + ∠B + ∠C = 180°  (Angle sum property)
• ∠C + 5∠C + 3∠C = 180°
• 9∠C = 180°
• ∠C = 180/9
• ∠C = 20°

☯ ∠A = 3∠C = 60°

☯ ∠B = 5∠C = 100°

☯ ∠C = 20°