POLYGONS Deder Angle Theorem in a Triangle REMEMBERD The exterior angle theorem may be stated in two differeat ways An exterior angle of a triangle is equl to the sm of the two no-adjcet terior angles of the triangle. mZA+m2B=mBCD An exterior angle of a triangle is gter then cither of the two non-adjacet laterior gles of the triangle. MZBCD>mA, mZBCD>B C. 1. In an equilateral triangle, what is the measure of one of its exterior angles? S. a triangle ABC, the mBCD AF00 and the m BAC-35. Find the mZ AB

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter3
MEASUREMENTINFOLYGONS
hoorem in a Triangle
REMEMBER
The exterior angle theorem may be stated in two differcat ways
An exterior angle of a triangle is equl to the sof the two non-adjacet lterior agles
of the triangle. ZA+mB=mBCD
> An exterior angle of a triangle is greater than either of the two
of the triangle. mZBCD>m A, mZBCD>B
jaceat lnerior gles
1. In an equilateral triangle, what is the
measure of one of its exterior angles?
5. Ia triangle ABC, the mBCDhoo
and the m BAC 35. Find the nZABC
2. Ia right triangle ABC ZC=90°. How many
degrees in m Af the measure of exterior
Z ABD 1307
3. In triangle ABC, AB CB, point D is on AB
and m Z CBD= 124". Find mZA
6 In isosceles triangle ABC, A AC
Ia the m C= (6x+ 10y nd the
mZB 3x + 40, Gnd the measure
of an exterior angle at vertex A.
4. The measure of an exterior angle of a
triangle can NOT be
7. In triangle ABC, m A is 3 times as
large as m B.If the measure of the
extesior ZCis 120, what is themZB?
(1)>90
(3)= 90
(2) between 90 and 180 (4) >180
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Transcribed Image Text:Chapter3 MEASUREMENTINFOLYGONS hoorem in a Triangle REMEMBER The exterior angle theorem may be stated in two differcat ways An exterior angle of a triangle is equl to the sof the two non-adjacet lterior agles of the triangle. ZA+mB=mBCD > An exterior angle of a triangle is greater than either of the two of the triangle. mZBCD>m A, mZBCD>B jaceat lnerior gles 1. In an equilateral triangle, what is the measure of one of its exterior angles? 5. Ia triangle ABC, the mBCDhoo and the m BAC 35. Find the nZABC 2. Ia right triangle ABC ZC=90°. How many degrees in m Af the measure of exterior Z ABD 1307 3. In triangle ABC, AB CB, point D is on AB and m Z CBD= 124". Find mZA 6 In isosceles triangle ABC, A AC Ia the m C= (6x+ 10y nd the mZB 3x + 40, Gnd the measure of an exterior angle at vertex A. 4. The measure of an exterior angle of a triangle can NOT be 7. In triangle ABC, m A is 3 times as large as m B.If the measure of the extesior ZCis 120, what is themZB? (1)>90 (3)= 90 (2) between 90 and 180 (4) >180 Scanned with CamScanner
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