Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. 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 trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.