Answer:
Option C) supplementary
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
In this problem
The measure of angles are
60° and 120°
Their sum is equal to
60° + 120°=180°
therefore
The two angles are supplementary
It's given in the question,
P, Q, V and K are collinear.
VP = 14x + 4
PK = x + 630
VQ = 17x + 6
KQ = 11x + 5
By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x =
x = 15
Therefore, value of VP = (14x + 4)
= 14(15) + 4
= 214 units
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