Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q44. (page 115)

Every triangle has at least two_?_angles.

Short Answer

Expert verified

Every triangle has at least twoacute angles.

Step by step solution

01

Step 1. Find theorem or postulate that can be used.

The sum of all three angles of a triangle is equal to 180°.

02

Step 2. Apply the theorem.

In a triangle, two angles simultaneously cannot be right angles or obtuse angles as in this case the sum of all three angles will be more than 180°.

03

Step 3. Draw the conclusion.

So in a triangle utmost one angle can be right angle or obtuse angle. Therefore others two angles must be acute.

Hence, every triangle has at least two acute angles.

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

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Name the two lines and the transversal that form each pair of angles.

and

Name five lines parallel to plane ABCD

Assume that a∥band c∥d.

If m∠7=x, then m∠12=?¯and m∠6=?¯

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

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