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Question 9. The Angles (3 + 5x) and (x + 15) are forming linear pair, so

  • 3 + 5x + x + 15 = 180

  • 6x + 18 = 180

  • 6x = 162

  • x = 27°

Question 10. Angle 58° + Angle (2x + 4) = 90, so

  • 58 + 2x + 4 = 90

  • 62 +2x = 90

  • 2x = 28

  • x = 14°

Question 11. 5x = 70°

  • x = 70 ÷ 5

  • x = 14°

Question 12. Angle 106° and Angle (2x +4) forms linear pair, so

  • 106 + 2x + 4 = 180

  • 110 + 2x = 180

  • 2x = 70

  • x = 35°
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Answer:

9. [tex]x=27[/tex]

10. [tex]x=14[/tex]

11. [tex]x=14[/tex]

12. [tex]x=35[/tex]

Step-by-step explanation:

9. [tex]3+5x+x+15=6x+18[/tex]

==>> [tex]6x+18=180[/tex]; subtract 18 from 180 giving you 162, and finally 162 divided by 6 equals 27.

10.  [tex]90+58 = 148\\180 - 148 = 32\\2(14)+4=32[/tex]

11. 70 and 5x are congruent so, [tex]180-70=110; 110/5 = 35[/tex]

12. [tex]180-106=74; 74-4 = 70; 70/2 = 35[/tex]

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