AP and BQ are medians of the triangle ABC and K is the centroid of the triangle.
One of the properties of the medians is that the point of intersection divides the median in the ratio 2:1
So BK = 2 KQ therefore
15 = 2 * KQ
and KQ = 7.5 answer
Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
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Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
What is M when R = 200? *
Step-by-step explanation:
Shapes? We need to know how they look like in order to solve
Answer: the compliment is 19° (90-71=19). the supplement is 109° (180-71=109)