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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
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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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Re: If two interior angles of a quadrilateral ABCD are right angles and th [#permalink]
22 Sep 2021, 05:01
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