Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Answer:
Line DG is equal to 16
Step-by-step explanation:
We know that
In a parallelogram, opposite sides are congruent.
Line DG is congruent to line FE, so they must have sides of equal length.
4z-48=z
4z=z+48
3z=48
48/3=z
16=z
Now we know that the variable is 16 increments, so we sub the 16 in for z in line DG
4(16)-48
64-48=16
Line DG is equal to 16
