x+x+4 180° x=25 5. The measure of two supplementary angles, ZS and ZT, are in the ratio of 7:3) Find the value of mZS. =180° 3X-2+2x+1=1 3x+2x-2=180° 17 5×5±180 98 35 ¥3000 46 45 3X-2 2x+7

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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The measure of two supplementary angles,
PROBLEM SOLVING
90°
4. It is known that ZBAM and ZCTX are complementary) If m/BAM = 2x+4 and mZCTX = x+11, then
solve for the value of x algebraically.
2x+4+x+11=90°
2x+x+4+1=98
3x500
46 45
5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS.
180°
180°
3x-2
2x+7
REASONING
x=75
3
X=25
EX=180-²
MLS = 90°
X=36
6. If TAP and <BRE are supplementary and <BRE is its own complement, find the measure of ZTAP.
Explain how you arrived at your answer.
These two andes 4G AH
or
must neighbor
to one another
and
att up
3
3x-2+2x+7=18
3x+2x-27=180°
5x510
7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Give
two different angles that are both supplementary to ZFAH. What must be true of these two angles?
KHAB And
HAG SUG
BAE
LEAF
H
Transcribed Image Text:PROBLEM SOLVING 90° 4. It is known that ZBAM and ZCTX are complementary) If m/BAM = 2x+4 and mZCTX = x+11, then solve for the value of x algebraically. 2x+4+x+11=90° 2x+x+4+1=98 3x500 46 45 5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS. 180° 180° 3x-2 2x+7 REASONING x=75 3 X=25 EX=180-² MLS = 90° X=36 6. If TAP and <BRE are supplementary and <BRE is its own complement, find the measure of ZTAP. Explain how you arrived at your answer. These two andes 4G AH or must neighbor to one another and att up 3 3x-2+2x+7=18 3x+2x-27=180° 5x510 7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Give two different angles that are both supplementary to ZFAH. What must be true of these two angles? KHAB And HAG SUG BAE LEAF H
2x+x+4+
5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS.
180°
X=25
180⁰
#l@ 180°
REASONING
3x-2
2x+7
3x+15 $390°
MLS = 90°
X=36
6. If ZTAP and ZBRE are supplementary and ZBRE is its own complement, find the measure of ZTAP.
Explain how you arrived at your answer.
3x+2x-2+7
5x5
7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Gi
two different angles that are both supplementary to ZFAH. What must be true of these two angles?
These two andes or
must neighbor
to one another
andes GAH
KHAB and
and add up
180°,
to
HAG SUG
BAE
of 4EAB
E
26
SUP
=Ax
A
COMMON CORE GEOMETRY, UNIT #1-ESSENTIAL GEOMETRIC TOOLS AND CONCEPTS-LESSON #4
eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018
LEAC
B
H
Transcribed Image Text:2x+x+4+ 5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS. 180° X=25 180⁰ #l@ 180° REASONING 3x-2 2x+7 3x+15 $390° MLS = 90° X=36 6. If ZTAP and ZBRE are supplementary and ZBRE is its own complement, find the measure of ZTAP. Explain how you arrived at your answer. 3x+2x-2+7 5x5 7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Gi two different angles that are both supplementary to ZFAH. What must be true of these two angles? These two andes or must neighbor to one another andes GAH KHAB and and add up 180°, to HAG SUG BAE of 4EAB E 26 SUP =Ax A COMMON CORE GEOMETRY, UNIT #1-ESSENTIAL GEOMETRIC TOOLS AND CONCEPTS-LESSON #4 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018 LEAC B H
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