Question

I’m not sure how to do this.. can anyone help?

Answer 1

m<1 =95

m<2 = 130

Explanation:

I take it you want the size of <1 and <2?

<ABC + 95 = 180 Same straight line.

<ABC = 180 - 95 Subtract 95 from both sides.

<ABC = 85 Combine

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<1 + <ABC = 180 Interior angles on the same side of the transversal = 180

<1 + 85 = 180

<1 = 180 - 85

<1 = 95

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Givens

<ABC = 85

m< 1 = 95

<ADC = 50 Given

m<2 = ?

m<2 + <ABC + m<1 + 50 = 360 The four angles of a quadrilateral add to 360

m<2 + 85 + 95 + 50 = 360

m<2 + 230 = 360

m<2 = 360 - 230

m<2 = 130