A straight line is 180°. The angles of QRT (2x + 33) and TRS (5x - 21) make up the 180° angle. So you can do:
∠QRT + ∠TRS = 180°
(2x + 33) + (5x - 21) = 180°
2x + 33 + 5x - 21 = 180 Combine like terms
7x + 12 = 180 Subtract 12 on both sides
7x = 168 Divide 7 on both sides
x = 24
Now that you found x, you can find the angles of QRT and TRS.
m∠QRT = 2x + 33
= 2(24) + 33
= 48 + 33
∠QRT = 81°
m∠TRS = 5x - 21
= 5(24) - 21
= 120 - 21
∠TRS = 99°
Answer:
the first multiple choice {x|1≤x<5}
Answer: b
Step-by-step explanation: b
Answer: oh that easy. The first one goes to the bottom right and the third one goes to the bottom left and the 4th one goes to the middle the 2nd one goes to the bottom right and the last one goes to the middle. :) have a nice day!
Step-by-step explanation: