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In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac?
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In the figure triangle abc is right angle at b , de ||bc and angle cde...
**Triangle ABC**
In the given figure, triangle ABC is shown.
**Right Angle at B**
We are given that angle B is a right angle. This means that the angle measures 90 degrees.
**Parallel lines**
The line DE is parallel to line BC. This means that lines DE and BC never intersect and are always the same distance apart.
**Angle CDE**
We are given that angle CDE measures 125 degrees.
**Angle ACB**
To find the measure of angle ACB, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle B measures 90 degrees and angle CDE measures 125 degrees, we can calculate:
180 degrees - 90 degrees - 125 degrees = -35 degrees
However, angles cannot have negative measures. Therefore, we can conclude that angle ACB does not have a valid measure.
**Angle ADE**
Since DE is parallel to BC, angle ADE and angle ACB are corresponding angles. Corresponding angles are congruent when lines are parallel, so angle ADE must also measure -35 degrees. However, this is not a valid measure for an angle.
**Angle AED**
To find the measure of angle AED, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle B measures 90 degrees and angle CDE measures 125 degrees, we can calculate:
180 degrees - 90 degrees - 125 degrees = -35 degrees
However, angles cannot have negative measures. Therefore, we can conclude that angle AED does not have a valid measure.
**Angle BAC**
Since angle B measures 90 degrees and angles ADE and ACB do not have valid measures, we can conclude that angle BAC is the remaining angle in the triangle. To find its measure, we can use the fact that the sum of the angles in a triangle is 180 degrees:
180 degrees - 90 degrees = 90 degrees
Therefore, angle BAC measures 90 degrees.
In the given figure, triangle ABC is shown.
**Right Angle at B**
We are given that angle B is a right angle. This means that the angle measures 90 degrees.
**Parallel lines**
The line DE is parallel to line BC. This means that lines DE and BC never intersect and are always the same distance apart.
**Angle CDE**
We are given that angle CDE measures 125 degrees.
**Angle ACB**
To find the measure of angle ACB, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle B measures 90 degrees and angle CDE measures 125 degrees, we can calculate:
180 degrees - 90 degrees - 125 degrees = -35 degrees
However, angles cannot have negative measures. Therefore, we can conclude that angle ACB does not have a valid measure.
**Angle ADE**
Since DE is parallel to BC, angle ADE and angle ACB are corresponding angles. Corresponding angles are congruent when lines are parallel, so angle ADE must also measure -35 degrees. However, this is not a valid measure for an angle.
**Angle AED**
To find the measure of angle AED, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle B measures 90 degrees and angle CDE measures 125 degrees, we can calculate:
180 degrees - 90 degrees - 125 degrees = -35 degrees
However, angles cannot have negative measures. Therefore, we can conclude that angle AED does not have a valid measure.
**Angle BAC**
Since angle B measures 90 degrees and angles ADE and ACB do not have valid measures, we can conclude that angle BAC is the remaining angle in the triangle. To find its measure, we can use the fact that the sum of the angles in a triangle is 180 degrees:
180 degrees - 90 degrees = 90 degrees
Therefore, angle BAC measures 90 degrees.
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In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac?
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In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac?.
In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure triangle abc is right angle at b , de ||bc and angle cde =125degree find the angle acb , angle ade , angle aed ang angle bac?.
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