R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.

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ayshaansari008 ayshaansari008 · Answer 1 · 2021-03-19T16:20:50+01:00

Step-by-step explanation:

complementary angle is 90 degrees

so angle t and s are complementary

measure of angle t is 72 degrees

so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees

so measure of angle s is 18 degrees

angle r and angle s are supplement which means their sum is 180 degrees

so measure of angle r will be 180 minus 18 which gives 162

so measure of angle r is 162 degrees

we need to find measure.of angle r minus measure.of angle s

so 162 minus 18 which gives 14r