Angle rqt is a straight angle. what are the measurements of angle rqs and tqs?

The measure of m<RQS and <TQS is 43 and 137degrees respectively.

Geometry is a branch in mathematics that is concerned with the measurement of angles, lines, and properties of triangles.

For the diagram shown, the sum of angle on the straight line TQR is 180degrees. This means that:

m<RQS + m<TQS = 180

Substitute the given angles

2x + 4 + 6x + 20 = 180

8x + 24 = 180

8x = 180 - 24

8x = 156

x = 156/8

x = 19.5

Get the angle m<RQS

Since m<RQS = 2x + 4

m<RQS = 2(19.5)+4

m<RQS = 39 + 4

m<RQS = 43degrees

Recall that:

m<TQS = 180 - m<RQS

m<TQS = 180 - 43

m<TQS = 137degrees

Hence the measure of m<RQS and <TQS is 43 and 137degrees respectively.

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arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation:

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.