/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q5 PQRS is a parallelogram. Find th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q5 (page 169)

PQRS is a parallelogram. Find the values of a, b, x and y.

Short Answer

Expert verified

The values of a, b, x and y are 8,10,118掳and 62掳respectively.

Step by step solution

01

Step 1. Apply property of parallelogram.

The opposite sides of a parallelogram are congruent.

02

Step 2. Description of step.

In given figure, PS炉鈮�QR炉implies that a=8and PQ炉鈮�SR炉implies that b=10.

03

Step 3. Apply property of parallelogram.

The opposite angles of a parallelogram are congruent.

04

Step 4. Description of step.

From the given figure, it can be observed that 鈭�y鈮�鈭�PSRimplies that

y=m鈭�PSR=62掳

05

Step 5. Description of step.

Both pairs of opposite sides of a parallelogram are parallel, that is, PS炉||QR炉and SR炉is a transversal then same side interior angles are supplementary.

m鈭�PSR+m鈭�SRQ=18062+x=180x=180鈭�62=118掳

Therefore, the values of a, b, x and y are 8,10,118掳and62掳 respectively.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

(a) Is it possible for two lines to be neither intersecting nor parallel? If so, what are the lines called? (b) Is it possible for two planes to be neither intersecting nor parallel? If so, what are the planes called?

When you know that two consecutive sides of a parallelogram are congruent, you can prove that the parallelogram is a rhombus. Draw a diagram and explain.

Each diagram shows a trapezoid and its median. Find the value of x.

From the following figure P,Q,R,Sare the midpoints of the sides of quadrilateral ABCD. In this diagram PR炉and SQ炉 have the same midpoint O. If you think this will be the case for any quadrilateral ABCD, prove it. If not, tell what other information you need to know about quadrilateral ABCDbefore you can conclude that PR炉and SQ炉have the same midpoint.

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AD炉鈮�BC炉
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.