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What is the measure, in degrees, of angle BCA in quadrilateral ABCD?
[#permalink]
21 Aug 2020, 00:00
21 Aug 2020, 00:00
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What is the measure, in degrees, of angle BCA in quadrilateral ABCD?
(1) ABCD is a trapezoid with AD parallel to BC
(2) The measure of CAD angle is 35 degrees
Attachment:
Screenshot 2022-08-17 at 7.39.19 PM.png [ 726.25 KiB | Viewed 3955 times ]
Attachment:
trapezoid.png [ 3.13 KiB | Viewed 11429 times ]
Re: What is the measure, in degrees, of angle BCA in quadrilateral ABCD?
[#permalink]
21 Aug 2020, 01:48
21 Aug 2020, 01:48
Statement A tells us that AD and BC are parallel but difficult to find the angle - Not Suff
Statement B tells us the measure of one angle, not satisfied.
From both the statement we can say that angle C is 35% using parallel lines and transversal angles rule
C is the answer
Statement B tells us the measure of one angle, not satisfied.
From both the statement we can say that angle C is 35% using parallel lines and transversal angles rule
C is the answer
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Re: What is the measure, in degrees, of angle BCA in quadrilateral ABCD?
[#permalink]
21 Aug 2020, 01:50
21 Aug 2020, 01:50
(1) ABCD is a trapezoid with AD parallel to BC
No information regarding the alternate angles for the transversal AC is given.
(Insufficient)
(2) The measure of CAD angle is 35 degrees
=> No other information is given to draw the angle BCA measure. (Insufficient)
Combining both, AC is a transversal, AB and CD are parallel so, CAD is the alternate angle equal to BCA.
(Sufficient)
Answer is C
Posted from my mobile device
No information regarding the alternate angles for the transversal AC is given.
(Insufficient)
(2) The measure of CAD angle is 35 degrees
=> No other information is given to draw the angle BCA measure. (Insufficient)
Combining both, AC is a transversal, AB and CD are parallel so, CAD is the alternate angle equal to BCA.
(Sufficient)
Answer is C
Posted from my mobile device
