Answer: 101 degrees
Step-by-step explanation:
For any parallelogram, the adjacent angles add to 180.
T+S = 180
(4x+1)+(3x+4) = 180
7x+5 = 180
7x = 180-5
7x = 175
x = 175/7
x = 25
Now we can determine angles T and S.
- angle T = 4x+1 = 4*25+1 = 100+1 = 101
- angle S = 3x+4 = 3*25+4 = 75+4 = 79
Notice that they add to 101+79 = 180 to confirm the correct x value, and correct angle measures.
For any parallelogram, the opposite angles are congruent. This allows us to say:
- angle T = angle R = 101 degrees
- angle P = angle S = 79 degrees