Question

Two supplementary angles differ by 35º. Find the measure of two angles.
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Answer 1

Answer:

Step-by-step explanation:

Let x , (180-x) are two supplementary angles.

According to the problem given,

x -(180°-x) = 34°

=> x -180°+x = 34°

=> 2x = 34+180

=> 2x = 214

=> x = 214/2

=> x = 107°

Therefore,

Required angles are ,

x = 107°,

180-x = 180-107 = 73°

Answer 2

Step-by-step explanation:

Let one angle be x

Let other angle be y

x+y=180°{supplementary angle}

x-y=35°{given}

x=35+y

35+y+y=180

2y=180-35

2y=145

y=72.5°

x=35+72.5

x=107.5°

Hope it helps.