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I need help finding the measures of angles 1, 2 and 4

I need help finding the measures of angles 1, 2 and 4-example-1
User Dmansfield
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1 Answer

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First, I will find angle 2

115° + m< 2 = 180° (angle on a straight line)

subtract 115° from both-side of the equation

m<2 = 180° - 115° = 65°

m<2 = 65°

m<1 + m<2 + 80° = 180° (sum of angle in a triangle)

m<1 + 65° + 80° = 180°

m< 1 + 145° = 180°

subtract 145° from both-side of the equation

m<1 = 180° - 145°

m<1 = 35°

m<2 + m<4 = 180° (angle on a straight line)

65° + m<4 = 180°

subtract 65 from both-side of the equation

m<4 = 180° - 65°

m<4 = 115°

User Rhino
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