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In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram?
Most Upvoted Answer
In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5...
Given Information:
- Angle A in parallelogram ABCD is 2x + 25 degrees
- Angle B in parallelogram ABCD is 3x - 5 degrees
Solution:
To find the value of x and the measure of each angle of the parallelogram, we can use the properties of parallelograms.
Property 1: Opposite angles in a parallelogram are congruent.
Based on this property, we know that angle A is congruent to angle C, and angle B is congruent to angle D.
Property 2: The sum of the interior angles of a parallelogram is 360 degrees.
Using this property, we can set up an equation to find the value of x.
Angle A + Angle B + Angle C + Angle D = 360 degrees
Substituting the given values:
(2x + 25) + (3x - 5) + (2x + 25) + (3x - 5) = 360
Simplifying the equation:
10x + 40 = 360
10x = 320
x = 32
Therefore, the value of x is 32.
Calculating the measure of each angle:
Substituting the value of x into the given expressions for angle A and angle B:
Angle A = 2(32) + 25 = 64 + 25 = 89 degrees
Angle B = 3(32) - 5 = 96 - 5 = 91 degrees
Summary:
The value of x is 32, and the measure of each angle in parallelogram ABCD is as follows:
- Angle A = 89 degrees
- Angle B = 91 degrees
- Angle C = 89 degrees
- Angle D = 91 degrees
Community Answer
In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5...
Please clear the value of a if it is 2x +25 or something else
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In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram?
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In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram?.
In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a parallelogram ABCD if angle a is 2x 25 degree and angle b is 3x-5 degree find the value of x and the measure of each angle of the parallelogram?.
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