SOLUTION: In the figure, S is the interior of angle PQR. If the measure of angle PQR is equal to 50 and the measure of PQS is 40 less than the measure of RQS, what is the measure of the angl

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Question 1174751: In the figure, S is the interior of angle PQR. If the measure of angle PQR is equal to 50 and the measure of PQS is 40 less than the measure of RQS, what is the measure of the angle PQS?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the measure of the angle PQS, in degrees.


Then the measure of the angle RQS is (x+40)  degrees.


From the condition, you have THIS equation


    x + (x+40) = 50.


It implies


    2x = 50-40 = 10 degrees;   

hence,

    x          = 10/2 = 5 degrees.      ANSWER

Solved.