Question

Angle xoy & angle yoz form a linear pair of y - 3x =20 then find x amd y

Answer 1

Angle xoy's measure is 40 degrees and angle yoz's measure is 140 degrees. This values satisfy not only the equivalent equation y - 3x = 20, they also maintain the supplementary condition of a linear pair of angles.

Step-by-step explanation:

In Mathematics, a linear pair of angles is a pair of adjacent, supplementary angles. Supplementary implies that the sum of the angle measures is 180 degrees. If angles xoy and yoz form a linear pair, then their measures add up to 180 degrees. We are also given an equation y - 3x = 20 which relates angle x to y.

1. First of all, express angle yoz in terms of x as per given equation, that is y = 3x + 20.
2. As these two angles make a linear pair, x + (3x + 20) = 180 which simplifies to 4x + 20 = 180.
3. Solving for x, we get x = 40
4. Substitute x into y = 3x + 20 to get y=3*40 + 20 = 140.

So, the values of x and y, satisfying both conditions are 40 and 140 respectively.

Learn more about Linear Pair of Angles