In the figure, m<2 = 56. What is the measure of <1?

Well, we know that the interior angles of any triangle add up to 180. We also know that a pair of supplementary angles adds up to 180. Furthermore we know that the figure in an iscoceles triangle. We know this since the 2 lines of the triangle are marked with a bisecting arc indidcating that they are equal in length. Therefore the 2 base angles are equal by the rules of an isosceles triangle. Let M and N represent the 2 base angles:

by using the rule that the interior angles add up to 180 we see that 56 +m +n=180

M and n are the same values since this is an isosceles triangle.

56 +m +n=180

m+n=124

Since m and n are the same values we just divide 124 by2

m, n=62

Therefore by using the rules of supplementary angles if the base angles equal 62 then the m<1 and 62 should add up to  180 since suplementary angles add up to 180. 180-62=118

m<1=118

Step-by-step explanation: