Chapter 2: Q21 (page 65)

It is known that has a supplement, but $∠ H O K$ can’t have a complement. Name one possible measure for $∠ H O K$ .

Short Answer

Expert verified

The one possible measure for $∠ H O K$ is $120 °$ .

Step by step solution

Step 1. Definition of complementary angles.

The complementary angles are the angles whose sum is $90 °$ .

Step 2. Definition of supplementary angles.

The supplementary angles are the angles whose sum is $180 °$ .

- Write one possible measure for angle HOK.

The $∠ H O K$ can’t have a complement that implies the angle has a measure greater than $90 °$ .

The $∠ H O K$ has a supplement that implies the has measure less than.

Therefore, has measure greater than and less than .

Therefore, the one possible measure for is .

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

It is known that has a supplement, but $∠ H O K$ can’t have a complement. Name one possible measure for $∠ H O K$ .

Short Answer

Step by step solution

Step 1. Definition of complementary angles.

Step 2. Definition of supplementary angles.

- Write one possible measure for angle HOK.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

It is known that has a supplement, but ∠HOKcan’t have a complement. Name one possible measure for ∠HOK.

Short Answer

Step by step solution

Step 1. Definition of complementary angles.

Step 2. Definition of supplementary angles.

- Write one possible measure for angle HOK.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

It is known that has a supplement, but $∠ H O K$ can’t have a complement. Name one possible measure for $∠ H O K$ .