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Hoochie [10]
2 years ago
7

Determine the value of x in the isosceles trapezoid. Please help

Mathematics
1 answer:
xenn [34]2 years ago
5 0

Answer:

90 degrees

Step-by-step explanation:

All trapazoids are equal to 360 degrees.

so we can make an equation 2x+x+x=360 (the other corner would also be x because its an unknown value)

to simplify, 4x=360

you divide into both sides (360/4)

you get 90

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The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

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