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8. c is where m<TPS is the smallest.

Take m<RPS - m<RPT in all the figures.

a) 80° - 40° = 40°

b) 80° - 39° = 41°

c) 80° - 41° = 39°

9. m<ABC

substitute the value of x

= m<ABT + m<TBC

= (1/2x + 24°) + (3x - 46°)

= (1/2[40°] + 24°) + (3[40°] - 46°)

= 44° + 74°

= 118°

m<ABC = 118°

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