Question

the sum of measures of two angles is 2 RADIANS and their difference is 20 DEGREES. Find their measures in RADIANS​

Answer 1

Answer:

1.17 and 0.83 radians

Step-by-step explanation:

Let one of the angles be x.

So the other must be 2-x, because (x) + (2-x) = 2

Here x is in radians.

The difference of the angles is 20° = 20*(π/180) radians

which is = 0.349 rad.

So, (x) - (2-x) = 0.349

=> x - 2 + x = 0.349

=> 2x - 2 = 0.349

=> 2x = 2.349

=> x = 1.17 rad.

And 2-x = 0.83 rad.

So, the two angles are 1.17 and 0.83 radians

Answer 2

Answer:

Let one of the angles be x.

So the other must be 2-x, because (x) + (2-x) = 2

Here x is in radians.

The difference of the angles is 20° = 20*(π/180) radians

which is = 0.349 rad.

So, (x) - (2-x) = 0.349

=> x - 2 + x = 0.349

=> 2x - 2 = 0.349

=> 2x = 2.349

=> x = 1.17 rad.

And 2-x = 0.83 rad

Step-by-step explanation: