ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 13-03-2021
  • Mathematics
contestada

Find the lettered angles in each of the following (see image ).
Sorry for the wobbly drawing.
please show workings.​

Find the lettered angles in each of the following see image Sorry for the wobbly drawingplease show workings class=

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jimrgrant1 jimrgrant1
  • 14-03-2021

Answer:

x = 252°, y = 126° , z = 54°

Step-by-step explanation:

( Hopefully I've read the size of the angle 126° correctly )

The central angle x is twice the inscribed angle, that is

x = 2 × 126° = 252°

∠ y = 126° ( angles on the circumference subtended by the same arc )

y and z are adjacent angles and are supplementary , that is

y + z = 180°

126° + z = 180° ( subtract 126° from both sides )

z = 54°

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