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ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD.
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ABCD is a rectangle and its diagonals AC and BD intersect at O. If ang...
To find the measure of angle ABO, angle ADB, and angle OCD in the given rectangle ABCD, we can use the properties of rectangles and the fact that the diagonals of a rectangle bisect each other.
Angle ABO:
Angle ABO can be found by using the fact that the diagonals of a rectangle bisect each other. Since the diagonal AC intersects diagonal BD at O, we can conclude that angles ABO and OBC are congruent. Therefore, angle ABO is also 120°.
Angle ADB:
Angle ADB can be found by using the fact that opposite angles in a rectangle are congruent. Since angle AOB is given as 120° and angle ABO is also 120°, we can conclude that angle ADB is the supplement of angle ABO. Therefore, angle ADB is 180° - 120° = 60°.
Angle OCD:
To find angle OCD, we can use the fact that the sum of the angles in a quadrilateral is 360°. Since ABCD is a rectangle, its opposite angles are congruent. Therefore, angle OCD is congruent to angle ADB, which we found to be 60°.
So, the measure of angle ABO is 120°, the measure of angle ADB is 60°, and the measure of angle OCD is 60°.
Angle ABO:
Angle ABO can be found by using the fact that the diagonals of a rectangle bisect each other. Since the diagonal AC intersects diagonal BD at O, we can conclude that angles ABO and OBC are congruent. Therefore, angle ABO is also 120°.
Angle ADB:
Angle ADB can be found by using the fact that opposite angles in a rectangle are congruent. Since angle AOB is given as 120° and angle ABO is also 120°, we can conclude that angle ADB is the supplement of angle ABO. Therefore, angle ADB is 180° - 120° = 60°.
Angle OCD:
To find angle OCD, we can use the fact that the sum of the angles in a quadrilateral is 360°. Since ABCD is a rectangle, its opposite angles are congruent. Therefore, angle OCD is congruent to angle ADB, which we found to be 60°.
So, the measure of angle ABO is 120°, the measure of angle ADB is 60°, and the measure of angle OCD is 60°.
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ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals?
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ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals?.
ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a rectangle and its diagonals AC and BD intersect at O. If angle AOB = One hundred twenty °, find the measure of angle ABO, angle ADB and angle OCD. Related: NCERT Solutions(Part- 1)- Understanding Quadrilaterals?.
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