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galben [10]
2 years ago
8

If one base angle of an isosceles trapezoid measures 42°, what is the measure of the other base angle?

Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0
The answer is 42°.

Because it's an isosceles trapezoid, the measure of one base angle will be the same as the other base angle.
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Step-by-step explanation:

We will use pythagoras' Theorem for this question

{c}^{2}  =  {a}^{2}  +  {b}^{2}

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

{c}^{2}  =  {10.6}^{2}  +  {16.8}^{2} \\  {c}^{2}   = 112.36 + 282.24 \\  {c}^{2}  = 394.6 \\ c =  \sqrt{394.6} \\  =  \frac{ \sqrt{9865} }{5}  inches

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<u>Answer</u><u>:</u>

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Hope you could understand.

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