Question

If the measures of two opposite angles of an isosceles trapezoids are 2x + 20 and 3x, what is the value of x?

Answer 1

x = 32

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