Answer:
(0, 7)
Step-by-step explanation:
Given:
J(-4, 11)
K(8, -1)
JP:JK = 1/3
Required:
Coordinates of P
SOLUTION:
Use the formula, to find the coordinates of point P, that partition the segment JK into the ratio 1/3.
Let,
Thus, plug in the values as follows:
The coordinates of point P, are (0, 7)
We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
