In the figure above, what is the measure of ÐCAT?
(1) AB ^ AT and AC ^ AD.
(2) AB bisects ÐCAD.
Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Pls help about the sign what this mean
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As I can gather the question is asking for the degree measure of angle CAT
STMT I
1. AB ^ AT and AC ^ AD ( assuming ^ = perpendicular)
angle CAD = 90 and angle BAT = 90
Insuff
2. AB bisects ÐCAD
Insuff, as we do not know the degree measure of angle CAD
STM I & II,
CAB = 45, BAD = 45
BAT = 90
BAD + DAT = 90
45 + DAT = 90
DAT = 45
CAT = CAB + BAD + DAT
CAT = 45+45+45 = 135
Suff
C
STMT I
1. AB ^ AT and AC ^ AD ( assuming ^ = perpendicular)
angle CAD = 90 and angle BAT = 90
Insuff
2. AB bisects ÐCAD
Insuff, as we do not know the degree measure of angle CAD
STM I & II,
CAB = 45, BAD = 45
BAT = 90
BAD + DAT = 90
45 + DAT = 90
DAT = 45
CAT = CAB + BAD + DAT
CAT = 45+45+45 = 135
Suff
C
SACX