momnaasghar005 momnaasghar005
  • 26-01-2020
  • Mathematics
contestada

AB is parallel to CD.
AB = BC∠ BCD = 20°.
Work out x explaining each stage of your working in the comment box.

DIAGRAM IS NOT TO SCALE

AB is parallel to CD AB BC BCD 20 Work out x explaining each stage of your working in the comment box DIAGRAM IS NOT TO SCALE class=

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devishri1977
devishri1977 devishri1977
  • 26-01-2020

Answer:

Step-by-step explanation:

∠ABC = ∠BCD    { AB // CD; BC TRAVERSAL, alternate angles are equal}

∠ABC = 20

∠BCA = ∠BAC     {angles opposite to equal sides are equal}

∠BCA = ∠BAC = x

x + x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

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