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Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.?
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Albert makes a poster in the shape of parallelogram on the topic of sa...
Given information:
- The poster is in the shape of a parallelogram.
- Angle A is equal to 4X + 3^0.
- Angle D is equal to 5X - 3^0.
To find:
The measure of angle B.
Solution:
Step 1: Understanding a parallelogram
- A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
- The opposite angles of a parallelogram are also equal.
Step 2: Identifying the angles in the parallelogram
- In the given parallelogram, we have angles A, B, C, and D.
- We need to find the measure of angle B.
Step 3: Using the properties of a parallelogram
- Since the opposite angles of a parallelogram are equal, we can set up an equation: A + C = 180°.
Step 4: Substituting the given angle values
- Substitute the values of angles A and C into the equation: (4X + 3^0) + C = 180°.
Step 5: Substituting the value of angle D
- We are given that angle D is equal to 5X - 3^0.
- Substitute the value of angle D into the equation: (4X + 3^0) + (5X - 3^0) = 180°.
Step 6: Simplifying the equation
- Combine like terms: 4X + 5X + 3^0 - 3^0 = 180°.
- Simplify: 9X = 180°.
Step 7: Solving for X
- Divide both sides of the equation by 9: X = 20°.
Step 8: Finding the measure of angle B
- Substitute the value of X into the equation for angle B: B = 4X + 3^0.
- Substitute X = 20°: B = 4(20°) + 3^0.
- Simplify: B = 80° + 1°.
- Final answer: The measure of angle B is 81°.
Conclusion:
- The measure of angle B in the parallelogram is 81°.
- The poster is in the shape of a parallelogram.
- Angle A is equal to 4X + 3^0.
- Angle D is equal to 5X - 3^0.
To find:
The measure of angle B.
Solution:
Step 1: Understanding a parallelogram
- A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
- The opposite angles of a parallelogram are also equal.
Step 2: Identifying the angles in the parallelogram
- In the given parallelogram, we have angles A, B, C, and D.
- We need to find the measure of angle B.
Step 3: Using the properties of a parallelogram
- Since the opposite angles of a parallelogram are equal, we can set up an equation: A + C = 180°.
Step 4: Substituting the given angle values
- Substitute the values of angles A and C into the equation: (4X + 3^0) + C = 180°.
Step 5: Substituting the value of angle D
- We are given that angle D is equal to 5X - 3^0.
- Substitute the value of angle D into the equation: (4X + 3^0) + (5X - 3^0) = 180°.
Step 6: Simplifying the equation
- Combine like terms: 4X + 5X + 3^0 - 3^0 = 180°.
- Simplify: 9X = 180°.
Step 7: Solving for X
- Divide both sides of the equation by 9: X = 20°.
Step 8: Finding the measure of angle B
- Substitute the value of X into the equation for angle B: B = 4X + 3^0.
- Substitute X = 20°: B = 4(20°) + 3^0.
- Simplify: B = 80° + 1°.
- Final answer: The measure of angle B is 81°.
Conclusion:
- The measure of angle B in the parallelogram is 81°.
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Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.?
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Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.? 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 Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.?.
Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.? 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 Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Albert makes a poster in the shape of parallelogram on the topic of save electricity for the interschool competition. If angle is equal to 4X 3 to the power zero and angle D is equal to 5X -3 to the power zero then find the measure of angle B.?.
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