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35 votes
35 votes
Help me with this question please

User CPB
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1 Answer

17 votes
17 votes

Take into account that angle 4 is congruent to angle 3, and you have already calculated the measure of angle 3, which is 62°. Then:

m<3 = 62°

Angle 5 is congruent to angle 1, then:

m<5 = 60°

Internal angle of 62° and angle 6 are supplementary, that is, they add up 180°. Then, you have:

m<6 = 180° - 62° = 118°

Take into account that the sum of internal angles of a triangle is 180°. Then, for angle 7 you have:

m<7 = 180° - 62° - 58° = 60°

Angle 7 and angle 8 are supplementary, then:

m<8 = 180° - 60° = 120°

Angle 9 is congruent toangle 62°, then:

m<9 = 62°

Angle 10 is congruent to angle 6, then:

m<10 = 118°

Angle 11 is congruent to angle 8:

m<11 = 120°

Finally, angle 12 is congruent to angle 7:

m<7 = 60°

User Justin Niessner
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2.8k points