# Geometry

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A museum was designed without windows, but a truncated cylindrical skylight lightens the building. In the development of this, the architect has areas where the angles formed at junctures are vertical angles.

If a pair of vertical angles measures 5x - 54 and 3x -24, find the measures of the angles.

• Geometry -

since vertical angles are equal,
5x-54 = 3x-24
2x = 30
x = 15

The angles are 21 degrees

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