gloverfamily199
gloverfamily199 gloverfamily199
  • 20-04-2017
  • Mathematics
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What is the value of X? Please show your work

What is the value of X Please show your work class=

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 02-10-2019

Answer:

∠A=40°

∠B=144°

∠C=140°

∠D=36°

Step-by-step explanation:

in a cyclic quadrilateral sum of opposite angles=180°

here ∠B+∠D=180

4x+x=180

5x=180

x=36°

∠D=36°

∠B=180-36=144°

similarly ∠A+∠C=180°

2y+7y=180

9y=180

y=20

∠A=2×20=40°

∠C=7×20=140°

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