/*! 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} Q28 Given: GK聽bisects聽鈭燡GIm鈭燞=... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q28 (page 98)

Given: GKbisects鈭�JGI

m鈭�H=m鈭�1

Prove: GK鈭�HI

Short Answer

Expert verified

It is proved that GK鈭�HI.

Step by step solution

01

Step 1. Apply exterior angle theorem.

From the given diagram it can be observed that 鈭�JGIis exterior angle and are remote interior angles, such that,

m鈭�JGI=m鈭�H+m鈭�I=m鈭�I+m鈭�I=2m鈭�I

02

Step 2. Apply definition of angle bisector.

Here, GK炉bisects 鈭�JGI, therefore,

m鈭�KGI=12m鈭�JGI=12脳2m鈭�I=m鈭�I

Which implies that the alternative angles are equal.

03

Step 3. Description of step.

If the two lines are intersected by a transversal and alternative angle are equal then the two lines are parallel. Therefore, .

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

If m鈭�1=130what are the measures of the other numbered angels?

A pair of same-side interior angles are trisected (divided into three congruent angles) by the red lines in the diagram. Find out what you can about the angles of ABCD.

Find the values of x,yand z

Draw several diagrams to help you decide whether each statement is true or false. If it is false, show a counterexample. It is true, draw and label a diagram you could use in a proof. List, in terms of the diagram, what is given and what is to be proved. Do not write a proof.

If a triangle has two congruent angles, then the sides opposite those angles are congruent.

For each polygon, find (a) the interior angle sum and (b) the exterior angle sum.

n-gon.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

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.