Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

9. If PORS is a rhombus, find mZPOR. (4x - 27) A (2x + 7) I R

Sagot :

Rhombus

Diagonals bisect the angles of a rhombus, that is, angle Q is bisected by the diagonal and the angles are equal, thus:

4x - 27 = 2x + 7

Subtracting 2x:

4x - 2x - 27 = 7

Adding 27:

4x - 2x = 7 + 27

Operating:

2x = 34

Dividing by 2:

x = 34/2

x = 17

Now we find the measure of angle PQR:

[tex]\begin{gathered} m\angle PQR=4x-27+2x+7 \\ \text{Operating:} \\ m\angle PQR=6x-20 \end{gathered}[/tex]

Substituting x=17:

[tex]m\angle PQR=6\cdot17-20=82[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.