KEVI is an isosceles trapezoid.
1 answer:
Answer:
14
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.
An isosceles trapezoid is a trapezoid with equal legs. The diagonals are also equal and both the upper and lower base angles are congruent.
From the question:
KV = IE = 2x + 6 (diagonals of a trapezoid are congruent)
From line segment addition postulate:
KV = KN + NV
substituting:
2x + 6 = 10 + x
2x + 6 - x = 10
x + 6 = 10
x = 10 - 6
x = 4
KV = 2x + 6
substituting x = 4:
KV = 2(4) + 6
KV = 14
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