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

B. p + q + r = 180 degrees

Step-by-step 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]

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.