Question

HELP PLZ

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

A triangle ABC has angle ABC labeled as q, angle BCA labeled as r, and the exterior angle at A labeled as p.

A. p + r = q
B. p + q + r = 180 degrees
C. p + q + r = 90 degrees
D. q + r = p

Answer 1

B because the 3 interior angles of any triangle adds up to 180 degrees.

Answer 2

Answer: B. p + q + r = 180 degrees

Explanation:

We know that for any triangle one relationship is always correct between the angles of the triangle, i.e the sum of all the interior angles of a triangle is 180°.

Therefore, if triangle ABC has angle ABC labeled as q, angle BCA labeled as r, and the exterior angle at A labeled as p.

Then p + q + r = 180 degrees [By angle sum property of triangle]