Question

triangle ABD and triangle ACE is exterior angles of triangle ABC if triangle ABD = 110 degree and triangle ACE = 150 degree then find triangle A​

Answer 1

Step-by-step explanation:

Given: Measure of exterior angle ABD = 110°

           Measure of exterior angle ACE = 150°

To find: m∠A

Figure is attached below.    

We know that Sum of all exterior angles of a polygon is equal to 360°

⇒ ∠CAF + ∠ACE + ∠ABD = 360°

    ∠CAF + 150° + 110° = 360°

    ∠CAF + 260° = 360°

    ∠CAF = 360° - 260°

    ∠CAF = 100°

Also, Pair of interior angle and corresponding exterior angle are supplementary.

⇒ Interior angle + exterior angle = 180°

   ∠CAF + ∠BAC = 180°

   ∠BAC + 100° = 180°

   ∠BAC = 180° - 100°

   ∠BAC = 80°

Therefore, Measure of Angle A is 80°  

I hope this may help you