Respuesta :

Answer:

133

Step-by-step explanation:

SP is part of a line and line is 180°

so:

m∠PQR + m∠RQS= 180°

(3x-5)  + ( x+1) = 4x-4=180

4x = 184

x= 46

m∠PQR = 3X-5 = 3(46)-5 =133

Wallameg000

Answer:

133

Step-by-step explanation:

Supplementary angles are angles that sum to 180°, meaning they form a straight line.

Solving for x

Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.

  • (3x-5) + (x+1) = 180

Next, combine like terms.

  • 4x - 4 = 180

Add 4 to both sides

  • 4x = 184

Divide by 4

  • x=46

Solve for m∠PQR

Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.

  • 3(46) - 5 = 133

This means that m∠PQR = 133°.

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