Answered

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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=

Sagot :

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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