Question

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

Answer 1

Answer:

  radians = 360 degrees

 the difference of two angles = 20 degrees

                                   a - b   = 20  -------------------->  1

the sum of two angles           = 360 degrees

                                   a + b   = 360 ------------------->   2

  equation 1 + 2

                                     2 a      = 380

                                        a       = 190

substitute in equation 2

                             190 + b      = 360

                                       b      =  360 - 190

                                       b      =  170

           Solution  (a=190, b=170)

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Answer 2

HEre Is Your Ans ⤵

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Let , The First Angle Be X And Second Angle Be Y

So ,

X + Y = 2 ---- (1)

X - Y = 20 ----- (2)

Add Equation 1 And 2

We Get ,

➡2X = 22

➡X = 22 / 2

➡X = 11

Put The Value Of X In Equation 1

➡11 + Y = 2

➡Y = - 9

Hence , The First Angle Is 11 Radian And Second Is - 9 Radian

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