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Name____________________ Common Core Geometry R Date_____________ HW #2 (Missing angles and transversals) Find the unknown (labeled) angles. Give reasons for your solutions. 1. e d 35 0 0 145 <e = _________ 0 • ll lines form = alt. int ≮'s. (35 ) • Linear pairs form supplementary angles. (answer) 0 2. 37o 47 Reason: ll lines form = alt. int ≮'s. m≮t = _____ to o r o s 47 0 37 Reason: ll lines form = alt. int ≮'s. m≮s = _____ o 47 no 0 0 37 Reason: vertical ≮'s are =. m≮n = _____ 0 96 Reason: ≮'s on a line sum to 180. m≮r = _____ 3. Draw an auxiliary line. • ll lines form = alt. int ≮'s. 0 36 0 56 • same side interior angles are supplementary. • Angle addition postulate (answer) 92 0 4. Draw an auxiliary line. 114 0 • ll lines form = corresponding angles. 0 0 117 63 0 0 129 51 0 0 (117 and 129 ) • Linear pairs form supplementary angles. 0 0 (63 and 51 ) 5. Draw an auxiliary line. 46 50 0 0 • Angle addition postulate (1140) 46 0 0 • same side interior angles are supplementary. (50 ) • Angle addition postulate (46 ) 0 • ll lines form = alternate interior angles. OVER 6. 0 144 b = _____ b • Vertical angles are =. (36 ) 0 36 36 0 0 360 • ll lines form = corresponding angles. (360) • same side interior angles are supplementary. 7. 140 0 a = _____ 140 0 • same side interior angles are supplementary. a140 0 40 0 74 66 0 40 0 • Angles that form a linear pair sum to 180 . 0 b = _____ 40 0 0 • Vertical angles are =. (40 ) 0 40 b 0 8. 50 50 0 0 • ll lines form = alternate interior angles. 50 0 • ll lines form = alternate interior angles. 0 (50 ) 9. 98 0 f 82 0 • Vertical angles are = in meaure.(f) • same side interior angles are supplementary. 7x + 5 = 180 x = 25 4x - 2 = 98 x = 25 <f = 98 180 - 98 = 82