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  • 15-05-2020
  • Mathematics
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the angle measurements in the diagram are represented by the following expressions​

the angle measurements in the diagram are represented by the following expressions class=

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study1104 study1104
  • 15-05-2020

Answer:

x = 12

∠A = 144

Step-by-step explanation:

+ We have: ∠A = ∠C (alternate interior)

                ∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

        4x      = 48

          x      = 12

+ ∠A = 10x + 24

 ∠A = 10 x 12 + 24

∠A = 144

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