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PilotLPTM [1.2K]
3 years ago
15

Find the angle sum of the irregular polygon using the formula S= 180(n-2).

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

  720°

Step-by-step explanation:

The "n" in the formula refers to the number of sides. The polygon shown has 6 sides, so the sum of interior angles is ...

  S = 180°(6 -2) = 720°

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Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

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Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

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B. We need to find the measure of angle RQP.

From the given figure, it is clear that

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m\angle RQP=(2(15)+3)^\circ

m\angle RQP=(30+3)^\circ

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