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A handkerchief is cut into a parallelogram in which two opposite angles measure (8x+12)° and (10x-24)° find the mmeasure of all the angles?

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Yhunicalyngaile62id

Answer:

A table cloth is cut into a parallelogram in which two opposite angles measure (​8x-33) and (5x-15)?Find the measures of all the angles.

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Answer:15°, 15°, 165°, 165°Step-by-step explanation:Opposite angles are

Step-by-step explanation:

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MathLord69id

Answer:

Parallelograms

  • The opposite angles of a parallelogram are congruent

Solution:

[tex]8x + 12 = 10x - 24[/tex]

[tex]10x - 8x = 12 + 24[/tex]

[tex]2x = 36[/tex]

[tex]x = 18[/tex]

Use x to find the measures of the angles

Angle 1

[tex]8x + 12[/tex]

[tex]8(18) + 12[/tex]

A1 = 156°

Angle 2

[tex]10x - 24[/tex]

[tex]10(18) - 24[/tex]

[tex]180 - 24[/tex]

A2 = 156°