PLEASE HELP. WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. As shown in the diagram, the lines through points P and Q, and through points R and S are parallel. A transversal intersects the parallel lines at the point P and S, respectively, such that ⦣QPS=(2k+89)° and ⦣PSR=(3k+61)°. Find the measure of ⦣QPS and ⦣PSR in degrees. THANK YOU VERY MUCH AND GOD BLESS.

9514 1404 393

  ∠QPS = 101°

  ∠PSR = 79°

Step-by-step explanation:

The marked angles are called "same-side interior angles" or "consecutive interior angles". By either name, they are supplementary.

  (2k +89) +(3k +61) = 180

  5k +150 = 180 . . . . . . . . . collect terms

  5k = 30 . . . . . . . . . subtract 150

  k = 6 . . . . . . . divide by 5

Then the angles are ...

  ∠QPS = (2·6 +89)° = 101°

  ∠PSR = (3·6 +61)° = 79°

∠QPS = 2 x 6 + 89 =101°

∠PSR = 3 x 6 + 61 =79°

Step-by-step explanation:

∠QPS and ∠PSR are consecutive interior angles, they are supplementary

(2k+89) + (3k+61) = 180

5k + 150 = 180

5k = 180-150 = 30

k = 6

∠QPS = 2 x 6 + 89 =101

∠PSR = 3 x 6 + 61 =79

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.