We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of
and 

Finally, we can use the Pythagorean Theorem to find the length of
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It would be (A) because all the points match the numbers above it
angle 1 = 180° - 115° (Linear Pair)
<u>angle 1 = 65°</u>
<u>angle 2 = angle 1 = 65°</u> ( Angles on the equal sides of an isosceles triangle )
angle 3 = 180° - (65° + 65°) (Angle Sum Property)
angle 3 = 180° - 130°
<u>angle</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>5</u><u>0</u><u>°</u>
angle 4 = 180° - 65° (Linear Pair)
<u>angle</u><u> </u><u>4</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u>5</u><u>°</u>
<u>angle</u><u> </u><u>5</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u>5</u><u>°</u> (Vertically Opposite Angles)
Hi it’s not really important that we are all over you have the moneylender and the kids and