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If two interior angles of a quadrilateral ABCD are right angles and th
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20 Sep 2021, 03:52
20 Sep 2021, 03:52
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If two interior angles of a quadrilateral ABCD are right angles and the degree measure of ∠ABC is twice the degree measure of ∠BCD, what could be the measure of the largest interior angle of quadrilateral ABCD?
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Source: manhattanreview
_________________
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Source: manhattanreview
_________________
Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Location: India
WE:Education (Education)
Re: If two interior angles of a quadrilateral ABCD are right angles and th
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22 Sep 2021, 05:01
22 Sep 2021, 05:01
2
Carcass wrote:
If two interior angles of a quadrilateral ABCD are right angles and the degree measure of ∠ABC is twice the degree measure of ∠BCD, what could be the measure of the largest interior angle of quadrilateral ABCD?
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Refer to the figure below;
Case I:
90° + 90° + 2x + x = 360°
3x = 180°
x = 60°
Greatest Angle = 120°
Case II:
2x = 90°
x = 45°
Greatest angle = 360° - (90° + 90° + 45°) = 135°
Hence, option C and D
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If two interior angles of a quadrilateral ABCD are right angles.png [ 6.19 KiB | Viewed 1816 times ]
_________________
I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
gmatclubot
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