Question

Draw any right angled .Measure its sides and angles and tabulate them.​

Answer 1

Answer:

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

Consider ∆ABC. ∠ACD is an exterior angle.

To Show: m∠ACD = m∠A + m∠B

Through C draw CE, parallel to BA

Justification

 Steps  Reasons

a) ∠1 = ∠x BA || CE and AC is a transversal. Therefore, alternate angles should be equal.

b) ∠2 = ∠y BA || CE and BD is a transversal.

c) ∠1 + ∠2 = ∠x + ∠y  

d) Now, ∠x + ∠y = m ∠ACD.

Hence, ∠1 + ∠2 = ∠ACD From the figure above.

The above relation between an exterior angle and its two interior opposite angles is referred to as the Exterior Angle Property of a triangle.