Question

Ray OC stands on a line AB such that adjacent-angles are one third and half of a
constant 'K'. Find the value of K.
​

Answer 1

Answer:

Create equations to solve for missing angles

Step-by-step explanation:

Answer 2

Answer:

The value of K = 120.

Question : Ray OC stands on a line AB such that adjacent-angles are one third and half of a constant 'K'.

Step-by-step explanation:

From the above question,

They have given :

Ray OC stands on a line AB such that adjacent-angles are one third and half of a constant 'K'.

Since the adjacent angles are one third and half of a constant K, then the sum of the two angles must equal to K. And since the sum of two adjacent angles must equal to 90°, then K must be equal to 90°.

Adjacent angles are two angles that share a common vertex and side. They are located next to each other.

Find the sum of the two angles.

Let the angles be x and 2x.

From the given conditions,

x = 1/3K and 2x = 1/2K

Solving for K,

K = 3/2(2x) = 3x

K = 3x = 3(1/3K)

K = 3K

K = 3

Set the sum equal to K.

Solve for K.

K = 90°.

Let the angle at A be 3K/2 and the angle at B be K/2.

Then,

3K/2 + K/2 = 180

K = 120

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