Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Answer: x = 36, y = 10, and z = -25
Step-by-step explanation:
99 and -3z +6 are same side interior angles, so they sum to 180 degrees.
99 -3z + 6 = 180
-3z = 75
z = -25
Opposite angles of a parallelogram are congruent
2x + 9 = -3x + 6
2x + 9 = 75 + 6
2x = 81 - 9
2x = 72
x = 36
9y + 9 = 99
9y = 90
y = 10
According to definition of parallelogram
- opposite sides and angles are equal
- Consecutive sides have sum 180°
[tex]\\ \rm\hookrightarrow 2x+9+99=180[/tex]
[tex]\\ \rm\hookrightarrow 2x+108=180[/tex]
[tex]\\ \rm\hookrightarrow 2x=72[/tex]
[tex]\\ \rm\hookrightarrow x=36[/tex]
- 2x+9=72+9=81
And
- -3z+6=81
- -3z=75
- z=-25
And
- 9y+9=99
- 9y=90
- y=10
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.