The sequence of angles from smallest to largest is m∠T,m∠S,m∠R.
Given three angles be m∠T=4x-52°,m∠S=x+38°,m∠R=2x+47°.
We are required to arrange the angles in ascending order.
Ascending order means values that are written in a way that smallest values come first and larger values comes last.
First we have to find the angles at one value of x.
The values will differ as the values of x differ so we have to choose point or value of x.
Suppose x=20.
Then the angles are:
m∠T=4x-52°
=4*20-52
=80-52
=28°
m∠S=x+38°
=20+38
=58°
m∠R=2x+47°
=2*20+47
=40+47
=87°
Hence the sequence of angles from smallest to largest is m∠T,m∠S,m∠R.
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