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leo4687
19.01.2021 •
Mathematics
One side of each pentagon lies along a side of the octagon.
AB is a side of the octagon.
AC is a side of one of the pentagons.
BC is a side of the other pentagon.
Work out the size of angle y.
Show your working clearly.
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Ответ:
The size of angle y is 126°
Step-by-step explanation:
From the diagram of the regular polygons, we have;
One side of each pentagon lies along a side of the octagon
The interior angle of the octagon > The interior angle of the pentagon
Each interior angle of a regular pentagon = 108°
Each interior angle of a regular octagon = 135°
Therefore, ∠ABC = 135° - 108° = 27°
Similarly, ∠BAC = 135° - 108° = 27°
Therefore, by triangle the angle sum theorem, we have;
∠y = ∠ACB = 180° - ∠BAC - ∠ABC = 180° - 27° - 27° = 126°
The size of angle y, ∠y = 126°.
Ответ:
it is already in scientific notation