/*! 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} Q19 What values must x and y have to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q19 (page 175)

What values must x and y have to make the quadrilateral a parallelogram?

Short Answer

Expert verified

The values that must x and y must have to make the quadrilateral a parallelogram are 18 and 14 respectively.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Find the value of x.

As the sum of the adjacent angles of the parallelogram is 180掳.

Therefore, to make the given quadrilateral a parallelogram, the sum of the adjacent angles measuring 8x鈭�6掳and42掳 should be 180掳.

Therefore, the value of x can be obtained as:

8x鈭�6+42=1808x+36=1808x=180鈭�368x=144x=1448x=18

Therefore, the value of x is 18.

03

Step 3. Find the value of y.

As the opposite angles of the parallelogram are congruent.

Therefore, to make the given quadrilateral a parallelogram, the opposite angles measuring 3y掳and42掳 should be equal.

Therefore, the value of y can be obtained as:

3y=42y=423y=14

Therefore, the value of y is 14.

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

Give the reason for each step in the following proof of theorem 5-6

Given: m鈭�A=m鈭�C=x;m鈭�B=m鈭�D=y

Prove: ABCD is a parallelogram.

Proof:

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

Draw 螖ABC and let D be the midpoint of AB炉. Let E be the midpoint of CD炉. Let F be the intersection of AE鈫� and BC炉. DrawDG炉 parallel toEF炉 meetingBC炉 at G. Prove that BG=GF=FC .

The coordinates of three vertices of parallelogram ABCD are given. Plot the points and find the coordinates of the fourth vertex.

A1,0,B(5,0),C(7,2),D(?,?)

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

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

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.