Question

For the figure​ shown, find m<1.

Answer 1

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