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Can somebody please help me solve this puzzle of parallel lines and transversals ?

Can somebody please help me solve this puzzle of parallel lines and transversals ?-example-1
User Wachr
by
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1 Answer

4 votes

This is crazy. Okay here I go...

m<1 = 53°

m<2 = 90° (perpendicular lines)

m<3 = 37° (forming straight angle)

m<4 = 53° (compliment with <3)

m<5 = 90° (perpendicular lines)

m<6 = 37° (compliment with <1)

m<7 = 37° (alt. int. angle pair with <6)

m<8 = 143° (linear pair with <7)

m<9 = 37° (vertical angle pair with <7)

m<10 = 143° (vertical angle pair with <8)

m<11 = 53° (alt. int. angle pair with <4)

m<12 = 127° (linear pair with <11)

m<13 = 53° (vertical angle pair with <11)

m<14 = m<15 = 63.5° (vertical angle pair with <12, split evenly among two <)

m<16, m<17, m<18, m<19 are unknown for now

m<20 = 90° (perpendicular lines)

m<18 = 37° (angles in a triangle)

m<16 = 37° (vertical angles with <18)

m<17 = 143° (linear pair with <18)

m<19 = 143° (vertical angles with <17)

m<21 = 90° (perpendicular lines)

m<24 and m<25 first!

m<24 = 90° (perpendicular lines)

m<25 = 26.5° (angles in a triangle)

m<23 = 26.5° (alt. int. angle pair with <25)

m<22 = 63.5° (compliments with <23)

m<26 = 153.5° (supplements with <25)

m<27 = 26.5° (vertical angels with <25)

m<28 = 153.5° (vertical angels with <26)

m<29 = 143° (alt. int. angle pair with <17)

m<30 = 37° (alt. int. angle pair with <18)

m<31 = 143° (vertical angles with <29)

m<32 = 37° (vertical angles with <30)

m<33 = 116.5° (angles in a triangle)

m<34 = 63.5° (linear pair with <33)

m<35 = 116.5° (vertical angles with <33)

m<36 = 63.5° (vertical angles with <34)

m<37 = 116.5° (corresponding angle with <33)

m<38 = 63.5° (corresponding angle with <34)

m<39 = 116.5° (corresponding angle with <35)

m<40 = 63.5° (corresponding angle with <36)

m<41 = 53° (angles in a triangle)

m<42 = 127° (linear pair with <41)

m<43 = 53° (vertical angles with <41)

m<44 = 127° (vertical angles with <42)

User Redbirdo
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