Question

find the measure of each angle if the measure of the three angles of a triangle are three consecutive natural numbers.​

Answer 1

Step-by-step explanation:

Let Angles of triangle be (x-1),x,(x+1).

Sum of all Angles of the triangle is 180°.

(x-1)+x+(x+1)=180

x-1+x+x+1=180

3x=180

x=180/3

x=60

So the measures of angles are

x-1=60-1=59°

x=60°

x+1=60+1=61°

Measures of angle of triangle are 59°,60° and 61°