Geometry PLEASE HELP will give le brainliest

From the given diagram, the measurement of ∠RQS is 106° and the measurement of ∠TQS is 74°

Step-by-step explanation:

For this problem, we are to find the measurements of ∠RQS and ∠TQS which makes up the straight line RQT. Straight lines have a measurement of 180°. So, since ∠RQS and ∠TQS make up ∠RQT, then we are goingt o set up an equation where we add ∠RQS and ∠TQS together and equal them to ∠RQT.

m∠RQS + m∠TQS = m∠RQT

Now, let's fill the information from the problem into our equation.

(11x + 7) + (8x + 2) = 180

Combine like terms on the left side of the equation.

19x + 9 = 180

Subtract 9 form both sides of the equation.

19x = 171

Divide by 19 on both sides of the equation.

x = 9

So, we know the value of x is 9. Now, let's plug in this value into each angle so we can see the measurements of each.

m∠RQS = 11(9) + 7 = 99 + 7 = 106°

m∠TQS = 8(9) + 2 = 72 + 2 = 74°

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step-by-step explanati∵∵∴∴on:

can someone answer this question plz

step-by-step explanation: