In the figure shown, which pair of angles must be supplementary?
∠pqt and ∠pqs
∠pqt and ∠tqs
∠pqt and ∠tqr
∠tqs and ∠sqr

Option C. ∠PQT and ∠TQS are supplementary.

Step-by-step explanation:

When the addition of two angles give 180° Then the pair of angles is called as supplementary.

Means we have to search the angles which are on a straight line.

Option A. ∠PQT and ∠PQS sum is more than 90 but less than 180.

Option B. ∠PQT and ∠TQS sum of these angles is 90°

Option C. ∠PQT and ∠TQR sum is 180° so pair is supplementary

Option D. ∠TQS and ∠SQR sum is less than 180°.

Therefore option C is the answer.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

it is x equals 3   plese mark me really need it

step-by-step explanation: