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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-example-1
User Yuya
by
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1 Answer

6 votes

Answer:

x = 252°, y = 126° , z = 54°

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°

User Alex Shpilkin
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4.2k points