Question

IN FIGURE A-O-B AND ANGLE BOC =3X AND ANGLE AOC ( 3X +60 DEGREE) THE MEASURE OF ANGLE BOC

Answer 1

Step-by-step explanation:

3x+60+3x=180°

6x=120°

x=20°

3x=60° ans.

Answer 2

Answer:

The measure of angle ∠BOC = 60°.

Step-by-step explanation:

      In the given figure,

        ∠BOC =3x , ∠AOC = 3x+60

      Since ∠AOB is linear angle

       which means ∠AOB = 180°          

          also  ∠AOB = ∠AOC + ∠BOC

     Substitute  ∠AOB = 180° in the above

                180° = 3x+60+3x

                180° = 6x+60

                180° = 6(x+10)

             180°/6 = x+ 10

               30° = x+10

               x = 30 - 10

               x = 20°

      Since ∠BOC =3x

     now substitute x = 20 in ∠BOC =3x

    So, ∠BOC =3x = 3(20) = 60°

         Hence, ∠BOC = 60°