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19 votes
19 votes
Find the value of p that makes quadrilateral QRST a parallelogram.

S
T
Q
R
3p+25°
5p–93°
p+87°
2p
p=° NO WRONG ANSWERS PLS

Find the value of p that makes quadrilateral QRST a parallelogram. S T Q R 3p+25° 5p-example-1
User Urs Meili
by
3.2k points

1 Answer

17 votes
17 votes
p= 31

EXPLANATION :opposite sides of a parallelogram are congruent so angles R & S should equal to 180 degrees when you add them and so on for angles Q & T

ANGLES R & S :
2p+3p+25=180
5p+25=180
5p=180-25
5p=155
p=31

ANGLES Q & T
p+87+5p-93=180
6p-6=180
6p=180+6
6p=186
p=31

MATH CHECK:
2(31)+3(31)+25+(31)+87+5(31)-93=360
62+93+25+31+87+155-93=360
453-93=360
360=360
User Anchor
by
2.7k points
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