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BaLLatris [955]
3 years ago
5

Find the measure of ∠2. and how did you find the answer??

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0
The 2 lines are parallel, so the 2 sides(e.g. 1 and 2/ 3 and 49) add up = 180 and In this case the 2 sides are equal as u can see from the original diagram so the angle  of 2 is 180-49=131.

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A metal frame is constructed in the form of an isosceles trapezoid. each base angle measures 80°, the length of the base is 7 fe
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1. Check the picture at the bottom.

2. ABCD is a right trapezoid so the diagonals have equal length. Lets find diagonal BD.

3. In triangle ABD we are given the length AB=7, AD=5 and m(A)=80°.

4. We use the cosine law: BD^{2}=AB ^{2}+ AD^{2}-2AB*BD*cos(A)

5. Cosine of 80 can be found with a scientific calculator or in the internet as cos80=0,17

6. BD^{2}=7 ^{2}+ 5^{2}-2*7*5*0.17=49+25-11.9=62.1

square root of BD=7.88, so the answer is 8 feet.


3 0
3 years ago
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