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26 November, 08:01

RS and ST are 2 sides of a regular 12-sided polygon.

RT is a diagonal of the polygon.

Work out the size of angle STR.

You must show your working.

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  1. 26 November, 10:31
    0
    15°

    Step-by-step explanation:

    The exterior angle at vertex S is 360°/12 = 30°. That angle has a measure that is equal to the sum of the congruent angles at R and T of ΔRST. In other words, ...

    ∠T = 30°/2 = 15°

    The size of angle STR is 15°.
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