WILL MARK BRAINLIEST PLEASE HELP

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°

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this