Sebastian030
Answered

Which relationship is always correct for the angles p, q, and r of triangle ABC?

p + r = q
p + q + r = 180 degrees
p + q + r = 90 degrees
q + r = p

Which relationship is always correct for the angles p, q, and r of triangle ABC? p + r = q p + q + r = 180 degrees p + q + r = 90 degrees q + r = p class=

Answer :

MrGumby

The correct answer is q + r = p.

The reason that we know this is that we know all the interior angles will add up to 180. We also know the angle opposite to p (let's call it s) will be equal to 180 - p since together they create a straight line. So, we can set up this equation and solve using that substitutation.

q + r + s = 180 ---> Sub in p value

q + r + (180 - p) = 180 ----> Subtract 180 from both sides

q + r - p = 0 ----> Add p to both sides

q + r = p

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