462145607572b 462145607572b
  • 07-06-2022
  • Mathematics
contestada

A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle y= 107° and angle z = 56°.
Work out x

A B amp C lie on a straight line D C amp E lie on a different straight line Angle y 107 and angle z 56 Work out x class=

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jimrgrant1 jimrgrant1
  • 07-06-2022

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

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