Answer:
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Step-by-step explanation:
Answer:
5. m<STP = 134
6. m<PTS = 158
Step-by-step explanation:
5. Since ray TR bisects <PTS, angles PTR and STR are congruent.
m<PTR = m<STR
3x - 8 = 2x + 17
Subtract 2x from both sides.
x - 8 = 17
Add 8 to both sides.
x = 25
m<STP = 2m<PTR
m<STP = 2(3x - 8)
m<STP = 2(3 × 25 - 8)
m<STP = 2(67)
m<STP = 134
6.
2m<PTR = m<PTS
2(x - 23) = x + 56
2x - 46 = x + 56
x = 102
m<PTS = x + 56
m<PTS = 102 + 56
m<PTS = 158
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
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