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In the given figure,

Angle 4 and Angle 8 are equal, because they form corresponding Angle pair, that is

  • [tex]77 = 4x + 57[/tex]

  • [tex]4x = 77 - 57[/tex]

  • [tex]4x = 20[/tex]

  • [tex]x = 20 \div 4[/tex]

  • [tex]x = 5[/tex]

the value of x = 5

Selena328

Solution:

Solving question no. 10.

In the given figure, we can see that ∠4 and ∠8 are equal as they are corresponding angles,

that is -

  • 4x + 57 = 77
  • 4x = 77 - 57
  • 4x = 20
  • x = 20/4
  • x = 5

Hence, x = 5

Solving question no. 11

In the given figure, we can see that ∠3 and ∠5 are equal as they are alternate interior angles, that is -

  • 5x + 13 = 53
  • 5x = 53 - 13
  • x = 40/5
  • x = 8

Hence, x = 8

Solving question no. 12

In the given figure, we can see that ∠1 and ∠7 are equal as they are alternate exterior angles, that is -

  • 6x - 5 = 115
  • 6x = 115 + 5
  • x = 120/6
  • x = 20

Hence, x = 20

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