ACT Math aid » Geometry » airplane Geometry » quadrilaterals » Trapezoids » exactly how to uncover an angle in a trapezoid

Find the measure up of angle

in the isosceles trapezoid pictured below.

You are watching: What is the degree of a trapezoid

Explanation:

The sum of the angle in any kind of quadrilateral is 360°, and the properties of one isosceles trapezoid dictate the the to adjust of angle adjoined through parallel lines (in this case, the bottom collection and top collection of angles) are equal. Individually 2(72°) indigenous 360° gives the amount of the two peak angles, and also dividing the result 216° by 2 returns the measurement of x, which is 108°.

Explanation:

As a rule, surrounding (non-paired) angles in a trapezoid are supplementary. Thus, we understand that if

, then
. Since we space told that
and
are paired and also trapezoid
is isosceles,
must also equal
.

Explanation:

To find the measure up of edge DAC, us must recognize that the internal angles of all triangles sum up to 180 degrees. Also, together this is one isosceles trapezoid,

and
are equal to each other. The 2 diagonals within the trapezoid bisect angles
and
at the exact same angle.

Thus,

must also be equal to 50 degrees.

Thus,

.

Now the we recognize two angle out of the three in the triangle top top the left, we have the right to subtract them indigenous 180 degrees to find

:

Explanation:

All quadrilaterals" interior angles amount to 360°. In isosceles trapezoids, the two peak angles are equal to every other.

Similarly, the 2 bottom angles space equal come each various other as well.

See more: Four Quarts Equals How Many Gallons Conversion (Qt To Gal), Quarts To Gallons Conversion

Therefore, to discover the amount of the two bottom angles, us subtract the steps of the peak two angles from 360:

Pennsylvania State University-Main Campus, Bachelor in Arts, Meteorology. Massachusetts institute of Technology, current Grad...
Atlanta ACT math Tutoring, Austin ACT mathematics Tutoring, Boston ACT math Tutoring, Chicago ACT math Tutoring, Dallas fort Worth ACT mathematics Tutoring, Denver ACT math Tutoring, Houston ACT mathematics Tutoring, Kansas City ACT math Tutoring, Los Angeles ACT mathematics Tutoring, Miami ACT mathematics Tutoring, new York City ACT mathematics Tutoring, Philadelphia ACT mathematics Tutoring, Phoenix ACT math Tutoring, san Diego ACT math Tutoring, mountain Francisco-Bay Area ACT math Tutoring, Seattle ACT mathematics Tutoring, St. Louis ACT math Tutoring, Tucson ACT mathematics Tutoring, Washington DC ACT math Tutoring
ACT mathematics Tutors in peak Cities:
Atlanta ACT math Tutors, Austin ACT math Tutors, Boston ACT math Tutors, Chicago ACT math Tutors, Dallas ft Worth ACT mathematics Tutors, Denver ACT mathematics Tutors, Houston ACT math Tutors, Kansas City ACT math Tutors, Los Angeles ACT mathematics Tutors, Miami ACT mathematics Tutors, new York City ACT math Tutors, Philadelphia ACT mathematics Tutors, Phoenix ACT math Tutors, san Diego ACT math Tutors, mountain Francisco-Bay Area ACT mathematics Tutors, Seattle ACT mathematics Tutors, St. Louis ACT mathematics Tutors, Tucson ACT mathematics Tutors, Washington DC ACT math Tutors
Popular courses & Classes
Spanish courses & great in new York City, ACT process & great in Philadelphia, SSAT process & great in Philadelphia, MCAT process & class in mountain Francisco-Bay Area, SSAT process & class in Houston, ACT process & class in Atlanta, Spanish courses & class in san Diego, LSAT courses & class in Boston, SSAT courses & classes in Phoenix, ACT process & class in Miami
Popular test Prep
SSAT test Prep in Chicago, MCAT test Prep in Washington DC, sat Test prepare in Boston, GRE check Prep in mountain Francisco-Bay Area, ACT test Prep in Philadelphia, GMAT test Prep in Houston, LSAT test Prep in new York City, GMAT test Prep in Atlanta, LSAT test Prep in Boston, GMAT check Prep in Dallas fort Worth
Report an issue with this concern

If you"ve uncovered an issue with this question, you re welcome let us know. With the help of the community we can proceed to improve our educational resources.

Do not fill in this field
* her Name:
* concern Description:
DMCA complain

your Infringement notification may be forwarded come the party that made the content available or to 3rd parties such as ChillingEffects.org.

you re welcome follow these actions to document a notice:

you must include the following:

Send your complain to our designated agent at:

Charles Cohn Varsity Tutors gmbh 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105