Question

Angles and transversals thank you

Answer 1

#11-13: 118 , 97 , 62

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

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!