find all missing angles. show your work.

(I’ll be using the < sign as the angle symbol)

*m<1 = 180 - 129
m<1 = 51

*m<1 + m<2 + 95 = 180
51 + m<2 + 95 = 180
146 + m<2 = 180
m<2 = 180 - 146
m<2 = 34

*m<3 = 95 (opposite by vertex)

*m<3 + m<4 + 47 = 180
95 + m<4 + 47 = 180
142 + m<4 = 180
m<4 = 180 - 142
m<4 = 38

*m<5 = 47 (opposite by vertex)

*m<7 = 180 - 121
m<7 = 59

*m<5 + m<6 + m<7 = 180
47 + m<6 + 59 = 180
m<6 + 106 = 180
m<6 = 180 - 106
m<6 = 74

Answer Link

vintechnology vintechnology · Answer 2 · 2021-12-09T15:20:43+01:00

The angles are as follows:

∠1 = 51°

∠2 = 34°

∠3 ≅ 95°

∠4 = 38°

∠5 ≅ 47°

∠6 = 74°

∠7 = 59°

The angles are as follows:

∠1 = 180 - 129 = 51° (angle on a straight line)

∠2 = 180 - 95 - 51 = 34° (sum of angles in a triangle is 180 degrees)

∠3 ≅ 95° (vertically opposite angles)

∠4 = 180 - 47 - 95 = 38° (sum of angles in a triangle)

∠5 ≅ 47°(vertically opposite angles)

∠6 = 180 - 47 - (180 - 121) = 74°(sum of angles in a triangles)

∠7 = 180 - 121 = 59°(angle on a straight line)

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