Respuesta :

The measure of RST and RSU are 39.43 and 13.52 respectively

Addition postulate

Given the following parameters

RST is (12x-1)

RSU is (9x-15)

UST = 53 degrees

According to the addition rule;

RSU + UST = RST

Substitute the given parameters

12x -1 + 9x - 15 =. 53

21x - 16 = 53

21x =69

x = 69/21

x = 3.28

RST =12(3.28) - 1

RST = 39.43

For the measure of RSU

RSU = 9x - 15

RSU =9(3.28) - 15

RSU = 13.52

Hence the measure of RST and RSU are 39.43 and 13.52 respectively

Learn more on addition postulate here; https://brainly.com/question/2134445

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