velagahasita5
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

In a parallelogram PQRS, if angle P = (2x+25) degrees and angle Q = (3x-5) degrees, then write the measures of angle S and angle R.

Sagot :

Medunno13

Consecutive angles of a parallelogram are supplementary, so:

[tex]2x+25+3x-5=180\\5x+20=180\\5x=160\\x=32[/tex]

This means [tex]m\angle P=2(32)+25=89^{\circ}[/tex] and that [tex]m\angle Q=3(32)-5=91^{\circ}[/tex].

Since opposite angles of a parallelogram are congruent,

[tex]\boxed{m\angle S=91^{\circ}, m \angle R=89^{\circ}}[/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us 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.