madisonjackson64 madisonjackson64
  • 08-06-2021
  • Mathematics
contestada

For the figure​ shown, find m<1.

For the figure shown find mlt1 class=

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 08-06-2021

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

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