Find the value of x and y
Home
/
Find the value of x and y
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
To find x and y, we can use the following equations:
x + y = 180 (angles in a triangle add up to 180 degrees)
y = 7x (given)
Substituting the second equation into the first equation, we get:
x + 7x = 180
8x = 180
x = 22.5 degrees
Substituting this value into the equation y = 7x, we get:
y = 7 * 22.5 = 157.5 degrees
Therefore, the values of x and y are 22.5 degrees and 157.5 degrees, respectively.
Explanation:
To find the value of x and y in the image you sent, we can use the following steps:
Identify the corresponding angles.
The angle labelled x is the opposite angle to the angle of 120 degrees.
The angle labelled y is the alternate interior angle to the angle of 120 degrees.
Use the sum of angles in a triangle to find the value of x.
The sum of angles in a triangle is 180 degrees.
Therefore, x + 120 + y = 180
Rearranging the equation, we get: x = 180 - 120 - y
Substituting the equation for y, we get: x = 180 - 120 - (60 + x)
Combining like terms, we get: 2x = 60
Dividing both sides by 2, we get: x = 30 degrees.
Use the alternate interior angles theorem to find the value of y.
The alternate interior angles theorem states that alternate interior angles formed by two parallel lines cut by a transversal are equal.
Therefore, y = 120 degrees.
Conclusion
The value of x is 30 degrees and the value of y is 120 degrees.Answer:
Explanation: