Continuing to Payment will take you to apayment page

Purchasing
SparkNotes PLUS
for a group?

Get Annual Plans at a discount when you buy 2 or more!

Price

$24.99$18.74/subscription + tax

Subtotal $37.48 + tax

Save 25%
on 2-49 accounts

Save 30%
on 50-99 accounts

Want 100 or more?
Contact us
for a customized plan.

Continuing to Payment will take you to apayment page

Your Plan

Payment Details

Payment Details

Payment Summary

SparkNotes Plus

You'll be billed after your free trial ends.

7-Day Free Trial

Not Applicable

Renews June 25, 2024June 18, 2024

Discounts (applied to next billing)

DUE NOW

US $0.00

SNPLUSROCKS20 | 20%Discount

This is not a valid promo code.

Discount Code(one code per order)

SparkNotes PLUS
Annual Plan - Group Discount

Qty: 00

SubtotalUS $0,000.00

Discount (00% off)
-US $000.00

TaxUS $XX.XX

DUE NOWUS $1,049.58

SparkNotes Plus subscription is $4.99/month or $24.99/year as selected above. The free trial period is the first 7 days of your subscription. TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. You may cancel your subscription on your Subscription and Billing page or contact Customer Support at custserv@bn.com. Your subscription will continue automatically once the free trial period is over. Free trial is available to new customers only.

Choose Your Plan

Your Free Trial Starts Now!

For the next 7 days, you'll have access to awesome PLUS stuff like AP English test prep, No Fear Shakespeare translations and audio, a note-taking tool, personalized dashboard, & much more!

Thank You!

You’ve successfully purchased a group discount. Your group members can use the joining link below to redeem their group membership. You'll also receive an email with the link.

No URL

Copy

Members will be prompted to log in or create an account to redeem their group membership.

Thanks for creating a SparkNotes account! Continue to start your free trial.

We're sorry, we could not create your account. SparkNotes PLUS is not available in your country. See what countries we’re in.

There was an error creating your account. Please check your payment details and try again.

Please wait while we process your payment

Your PLUS subscription has expired

We’d love to have you back! Renew your subscription to regain access to all of our exclusive, ad-free study tools.

Renew your subscription to regain access to all of our exclusive, ad-free study tools.

An angle is a geometric figure consisting of two
rays with a common endpoint. It looks like
this:

The common endpoint is called the vertex of the angle; in this case the
vertex is point A, which is a part of the ray
AB as well as the ray AC. The angle can be called either angle CAB or angle
BAC. The only rule in naming an angle is that the vertex must always be
the middle "initial" of the angle. The symbol for an angle is this:

Measuring Angles

Long ago people wanted to measure angles, so numbers were arbitrarily assigned
to determine the size of angles. Under this arbitrary numbering system, one
complete rotation around a point is equal to a 360 degree rotation. (There
is another unit of measure for angles besides degrees called radians, in
which one full rotation is equal to 2Π radians; in this text we will use
degrees as our default unit for measuring angles.) Two angles with the same
measure are called congruent angles. Congruence in angles is symbolized by
a small arc drawn in the region between rays. Congruent angles are drawn with
the same number of such arcs between their rays. An angle's measure determines
how it is classified.

Zero Angles

An angle with a measure of zero degrees is called a zero angle. If this is
hard to visualize, consider two rays that form some angle greater than zero
degrees, like the rays in the . Then
picture one of the rays rotating toward the other ray until they both lie in the
same line. The angle they create has been
shrunk from its original measure to zero degrees. The angle that is now formed
has a measure of zero degrees.

Right Angles

An angle with a measure of 90 degrees is called a right angle. A right
angle is symbolized with a square drawn in the
corner of the angle.

Straight Angles

An angle with a measure of 180 degrees is called a straight angle. It looks
just like a line. Don't mix up straight angles with zero angles.

Acute and Obtuse angles

Another way to classify angles by their measures is to consider whether the
angle's measure is greater or less than 90 degrees. If an angle measures less
than 90 degrees, it is called an acute angle. If it measures more than 90
degrees, it is called an obtuse angle. Right angles are neither acute nor
obtuse. They're just right.