∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find
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Given:
In trapezoid is the mid-segment of
.
To find:
The length of .
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid ,
Isolate variable terms.
Now,
Therefore, the length of is 230.
