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3 years ago

Angles and transversals thank you

Mathematics

1 answer:

faltersainse [42]3 years ago

7 0

Answer:

#11-13: 118 , 97 , 62

#7-10: 92 , 125 , 56 , 130

Step-by-step explanation:

#11. Supplementary angles (A + B = 180)

(n + 7) + (3n - 47) = 180
n = 55
<ABC = 3(55) - 47 = 118 degrees

#12. Supplementary angles

83 + x = 180
x = 97
<ABC = 97 degrees

#13. Congruent angles (A = B)

(8x - 34) = (5x +2)
x = 12
<DEF = 5 (12) + 2 = 62 degrees

#7. Congruent angles

(3x +23) = 4x
x = 23
<ABC = 4(23) = 92 degrees

#8. Congruent angles

5x = (3x + 50)
x = 25
<MPQ = 3(25) + 50 = 125 degrees

#9. Congruent angles

(a + 28) = 2a
a = 28
<MNP = (28) + 28 = 56 degrees

#10. Congruent angles

5y = (2y + 78)
y = 26
<WXZ = 5(26) = 130 degrees

I hope this helps!

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