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Aleksandr [31]
4 years ago
7

Somebody please help

Mathematics
1 answer:
JulijaS [17]4 years ago
8 0

Answer:

The measure of PQR is 133 degrees

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

Since these angles are supplementary, that means that they add up to 180 degrees.

3x - 5 + x + 1 = 180

<u>Step 2:  Combine like terms</u>

3x <u>- 5</u> + x <u>+ 1</u> = 180

4x - 4 = 180

<u>Step 3:  Add 4 to both sides</u>

4x - 4 + 4 = 180 + 4

4x = 184

<u>Step 4:  Divide both sides by 4</u>

4x / 4 = 184 / 4

x = 46

<u>Step 5:  Find the measure of PQR</u>

PQR = 3x - 5

PQR = 3(46) - 5

PQR = 138 - 5

PQR = 133

Answer:  The measure of PQR is 133 degrees

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