Answer:
m<1 =95
m<2 = 130
Step-by-step 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
