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Difficulty:
45%
(medium)
Question Stats:
62% (01:26) correct
38%
(01:46)
wrong
based on 78
sessions
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If CD is a bisector in triangle ABC, what is ∠ABC?
A. 25°
B. 30°
C. 35°
D. 40°
E. 45°
Attachment:
1.png [ 4.45 KiB | Viewed 2449 times ]
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angle ACD is 50
∠ABC = 180- 50 - 85 = 35
Option (C)
∠ABC = 180- 50 - 85 = 35
Option (C)
Bunuel
Since CD is bisector then, define ACD = x, BCD = x, we want to find ABC = 180-(95+x) = 85 - x = ?
We have ADC = 180-(x+45), and CDB = 95.
Then, 180 - x - 45 + 95 = 180 => x = 50
Therefore, 85 - 50 = 35 (C)
We have ADC = 180-(x+45), and CDB = 95.
Then, 180 - x - 45 + 95 = 180 => x = 50
Therefore, 85 - 50 = 35 (C)
asishron29181
Joined: 04 May 2020
Last visit: 04 Nov 2022
Posts: 185
Location: India
Schools: Great Lakes (I)
GMAT 1: 610 Q47 V27
WE:Programming (Computer Software)
CD is the angle bisector
angle ACD = angle DCB = x
ADC = 180 - 95 =85 (supplementary angle )
x = 180 - 45 - 85
= 180 -130
= 50
angle DCB = 50
95+50 + ABC = 180
ABC =35
IMO C
angle ACD = angle DCB = x
ADC = 180 - 95 =85 (supplementary angle )
x = 180 - 45 - 85
= 180 -130
= 50
angle DCB = 50
95+50 + ABC = 180
ABC =35
IMO C
Posts: 731
IMO C,
Added my approach in the below snap
Posted from my mobile device
Added my approach in the below snap
Posted from my mobile device
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IMG_20210710_185651.jpg [ 52.03 KiB | Viewed 2095 times ]
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