/*! 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} Q.2 Find the value of x. Then classi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q.2 (page 539)

Find the value of x. Then classify the triangle by its angle measures.

Short Answer

Expert verified

The value of xisx=30掳 and the triangle is an equilateral triangle.

Step by step solution

01

Step 1. Given Information.

One angle of the triangle is60掳.

The remaining two angles is given as 2x.

02

Step 2. Formula.

Sum of all angles of a triangle is180掳.

03

Step 3. Calculation.

The sum of all the angles of a triangle is180掳.

This gives us,

2x+2x+60=鈭�180掳

Add both x together.

4x+60=鈭�180掳

Subtract 60 from both the sides.

4x+60-鈭�60=鈭�180-鈭�60掳

This gives us,

4x=120掳

Now, divide both sides by 4.

4x4=120掳4

This will give us,

x=30掳

Since, the other two sides of the triangle are 2x. Multiply it with 2. The angle of each side is,

2x=2脳30掳=60掳

Hence, all the angles of the triangle are60掳.

04

Step 4. Conclusion.

The value of x isx=30掳.

All the three angles of the triangle are60掳.

Hence, it is an equilateral triangle.

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

The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is11:18:18. Draw and label a diagram of the window. What are the side lengths of the window? Classify the window by its side lengths.

Find the area of the trapezoid.

One base of a trapezoid is 9 feet, and the height is 4 feet. The area of the trapezoid is 28 square feet. Find the other base.

Find the midpoint of the segment with endpoints -7,5and4,-20.

Tell whether the figure is a polygon. If it is a polygon, classify it and tell whether it is a convex or concave. If not, explain why.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.