6. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles? 129, 51

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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number 6. i have the answer but im not sure how to solve it, could you explain?
gie
Relationships
Name an angle or angle pair that satisfies each condition.
1. Name two obtuse vertical angles.
Sample answer: <GFH, ZCFE
2. Name a linear pair with vertex B. LGBC, LCBA
3. Name an angle not adjacent to, but complementary to ZFGC.
LFED
4. Name an angle adjacent and supplementary to DCB. 2BCG or LDCH
ALGEBRA For Exercises 7-8, use the figure at the right.
7. If m2 FGE = 5x + 10, find the value of x so that FCLAÉ. 16
A
8. If m2 BGC = 16x-4 and mz CGD = 2x + 13, find the value of x so that
LBGD is a right angle 4.5
B
Determine whether each statement can be assumed from the figure. Explain.
9. ZNOO and LOOP are complementary.
C
D
50°
5. ALGEBRA Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other
angle. Find the measures of the angles. 23, 67
F
6. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of
the angles?
129, 51
50° E
Transcribed Image Text:gie Relationships Name an angle or angle pair that satisfies each condition. 1. Name two obtuse vertical angles. Sample answer: <GFH, ZCFE 2. Name a linear pair with vertex B. LGBC, LCBA 3. Name an angle not adjacent to, but complementary to ZFGC. LFED 4. Name an angle adjacent and supplementary to DCB. 2BCG or LDCH ALGEBRA For Exercises 7-8, use the figure at the right. 7. If m2 FGE = 5x + 10, find the value of x so that FCLAÉ. 16 A 8. If m2 BGC = 16x-4 and mz CGD = 2x + 13, find the value of x so that LBGD is a right angle 4.5 B Determine whether each statement can be assumed from the figure. Explain. 9. ZNOO and LOOP are complementary. C D 50° 5. ALGEBRA Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles. 23, 67 F 6. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles? 129, 51 50° E
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