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  • 26-02-2021
  • Mathematics
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If the measures of two opposite angles of an isosceles trapezoids are 2x + 20 and 3x, what is the value of x?

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proz
proz proz
  • 27-02-2021

Answer:

x = 32

Step-by-step explanation:

An isosceles trapezium is one in which non-parallel sides have equal measure.

For an isosceles trapezoid, it is a rule that the two opposite angles equal 180°

∴ 2x + 20  3x = 180

solving the above equation:

2x + 3x = 180 - 20

5x = 160

x = 160 ÷ 5

x = 32

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