Answer:
The answer to your question is: ∠K = 138°
Step-by-step explanation:
m∠N = 42°
m∠K = ?
The sum of all the internal angles in a quadrangle equals 360°
then
∠N + ∠L + ∠M + ∠K = 360°
∠N = ∠ L and ∠M = ∠K
So, 2 ∠N + 2 ∠K = 360
Substitution
2 (42) + 2 ∠K = 360
84 + 2 ∠K = 360
2 ∠K = 360 - 84
2 ∠K = 276
∠K = 276 / 2
∠K = 138°
Answer:
x = 5
Step-by-step explanation:
The diagonals of a parallelogram bisects each other, which means that each diagonal is splitter into two equal parts.
Therefore:
x - 2 = 2x - 7
Collect like terms
x - 2x = 2 - 7
-x = -5
Divide both sides by -1
x = 5
Answer:
14 in
Step-by-step explanation:
3x=x+40
Subtract x from both sides
2x=40
Divide both sides by 2nto get x by itself
x=2
Plug 2 in for x
m∠4 = (3x)
m∠4 = 3(2)
Solve
m∠4 = 6