rolyahmed2507
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  • 16-11-2020
  • Mathematics
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What value of x will make AB perpendicular to CD

What value of x will make AB perpendicular to CD class=

Respuesta :

eudora eudora
  • 21-11-2020

Answer:

x = 7

Step-by-step explanation:

From the picture attached,

m∠CGE = m∠FGD = (2x + 4)° [vertically opposite angles]

If m∠BGC = 90° Or AB⊥CD,

m∠CGE + m∠EGB = 90°

(2x + 4)° + (11x - 5)° = 90°

13x - 1 = 90

13x = 91

x = 7

Therefore, x = 7 will make the lines AB and CD perpendicular.

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