Respuesta :

Answer:

angle one 47

angle 2 133

Step-by-step explanation:

angle 1: 180 - 71 - 62 = 47

because the sum of the triangle angles is 180

angle 2: 71 + 62 = x so its 133}

or you could just do 180 - 47 because to subtract the other end of the angle

hope it helps :)

As we know that 3∠ˢ of a ∆ is 180°

So, using this property let's get angle 1 in ∆ABC

∠A + ∠B + ∠1 = 180°

71° + 62° + ∠1 = 180°

133° + ∠1 = 180°

∠1 = 180° - 133°

∠1 = 47°

So, measure of angle 1 is 47°

Now, finding angle 2

If we see angle 2 is very next to angle 1 and divided by AC. So, in these cases we use the property of linear pair.

According to linear pair,

  • angle 1 + angle 2 = 180°

As we know that angle 1 is 47° from the 1st part of the question

  • 47° + ∠2 = 180°

  • ∠2 = 180° - 47°

  • ∠2 = 133°

Henceforth, measure of angle 2 is is 133°