Question

I need help with this please

Answer 1

133

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

Answer 2

133

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°.