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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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
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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General Discussion
Re: If two interior angles of a quadrilateral ABCD are right angles and th
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06 Feb 2026, 03:59
06 Feb 2026, 03:59
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