SOLUTION: KLMN is a trapezoid, KL=MN and AB is a midsegment so that AF=2, FB=5, and MN=6. Find the m∠N, m∠K, m∠L, and m∠M.
Algebra.Com
Question 1131895: KLMN is a trapezoid, KL=MN and AB is a midsegment so that AF=2, FB=5, and MN=6. Find the m∠N, m∠K, m∠L, and m∠M.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The problem is not sufficiently defined. Specifically, point F is not defined.
I guessed that F was a point on midsegment AB; however, if that is the case, the problem is indeterminate (there is not a single solution, but rather an infinite number of solutions).
Re-post showing the complete definition of the problem.
-----------------------------------------------------------------------
If the only additional information is that F is indeed on the midsegment, then there is not enough information to find the measures of the angles.
All we have is a midsegment AB of length 7, and B the midpoint of side MN of the isosceles trapezoid. The angle at which AB and MN meet is not known; so the angles of the trapezoid can't be known.
RELATED QUESTIONS
If m∠A = 65°, m∠B = 115°, and m∠C = (2x + 5)°, determine the value of... (answered by josgarithmetic)
Suppose
∠
A
is complementary to
∠
B
and
∠
B
is supplementary... (answered by Fombitz)
In the figure below, line m is parallel to line n, and line t is a transversal crossing... (answered by richard1234)
∠x and ∠y are complementary. If m∠x = a + 3 and m∠y = 2a + 6,... (answered by nerdybill)
If m∠BGC=16x-4 and m∠CGD=2x+13, find the calue of x so that ∠BGD is a... (answered by cleomenius)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Alan3354)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Tatiana_Stebko)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by jim_thompson5910)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by math33)