michellemurpie3 michellemurpie3
  • 27-04-2022
  • Mathematics
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in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b

in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b class=

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shivapriyasaji408
shivapriyasaji408 shivapriyasaji408
  • 27-04-2022

Answer:

∠a = 35°  ∠b = 65°

Step-by-step explanation:

a = 35 ° ( alternate interior angles )

( the line x is parallel to line yz hence we can consider XY as a transversal)

∠b + 35° + 80° = 180 ° ( angle sum property of triangle)

∠b+ 115° = 180°

∠b= 180 - 115

∠b = 65°

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