Question

5. If the sum of the measures of two angles is 2 and
their difference is 20°, find their measures in radians,​

Answer 1

Although the given question is incomplete, you may be referring to this question:

If the sum of the measures of two angles is 2 radians and their difference is 20°, find their measures in radians.

Given: The sum of the measures of the two angles is 2 radians and difference is 20°.

To find: Measures of the angle in radians

Explanation: Let the two angles be a and b.

Sum of angles

= a+b

= 2 rad

Equation (i) - a+b = 2

Now, to convert degree into radians, we multiply the degree measure by π/180.

Therefore,

20° = 20×π /180

= π/9

Difference of angles

= a-b

= π/9 radians

= 0.349 radian (π= 3.14)

Equation (ii) -> a-b= 0.349

Adding both equations:

2a = 2 + 0.349

=> 2a = 2.349

=> a = 1.1745 radians

Using a = 0.1745 in Equation (i),

1.1745 + b = 2

=> b = 2-1.1745

=> b = 0.8255 radians

Therefore, the measure of two angles in radians are 1.1745 radians and 0.8255 radians.