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.
Learn more here: https://brainly.com/question/22576129
