Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q4. WE (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=11.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of isosceles triangles.

An isosceles triangle is a triangle that has two sides of equal length and two equal angles.

03

Step 3. Find the value.

From the figure,AC=10,BC=11,∠BAC=63∘,∠ABC=54∘ and AB=x.

Therefore, find the value ofx as follows:

∠ABC+∠ACB+∠BAC=180∘54∘+63∘+∠ACB=180∘∠ACB=63∘

Since the triangle is isosceles triangle then∠ACB=∠BAC=63∘ and AB=BC=11.

Therefore, the value of x=11.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.

In an isosceles triangle, if the angle between the congruent sides is bisected, then two congruent triangles are formed.

State whether the congruence of triangles have the reflexive property, the symmetric property, the transitive property.

Suppose you are given a scalene triangle and a point Pon some line l. How many triangles are there with one vertex at P, another vertex onl, and each triangle congruent to the given triangle.

The pentagons shown are congruent. Complete.

?¯=m∠E

The pentagons shown are congruent. Complete.

If CA¯⊥LA¯,name two right angles in the figures.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Decision Maths

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.

Sign-up for free