Question

In the given figures find the Value of x
And y

Answer 1

In ∆BCA, ∠BAX = 62° is the exterior angle at A. Exterior angle = sum of interior opposite angles. ∠ABC + ∠ACB = ∠BAX 28°+ x = 62° x = 62° – 28° = 34° Also ∠BAC + ∠BAX = 180° [∵ Linear pair] y + 62° = 180° y = 180° – 62° = 118° x = 34° y = 118°