Given: KLMN is a trapezoid, KL=MN,
1 answer:
<h3>Answer:</h3>
∠K = ∠N = 60°
∠L = ∠M = 120°
<h3>Step-by-step explanation:</h3>In the attached, we have renamed F to G so Brainly will let us talk about it more easily. We have also added altitude MX.
AG is also a midsegment of ΔKLM, so LM = 2×AG = 4. Then ...
... NX = AB - LM = 7 -4 = 3
and we have right ΔMXN with hypotenuse 6 and leg 3. This is recognizable as a 30°-60°-90° triangle, with the 60° angle at N.
The angle at M is supplementary to that at N (because LM ║ KN), so measures 120°
The trapezoid is isosceles, so angles K and L have the same measures as angles N and M.
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(1) division property of equality
(2) factoring the binomial
(3)completing the square
(4)subtraction property of equality
Answer : (2) factoring the binomial
Step 1:
Step 2:
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Check the first picture below.
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Check the second picture below.
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