Question

the difference of two linear angles is 34 then the smaller angle is

Answer 1

Let one angle be x
then the other angle = 180-x (as the two angles are linear)

Difference of two linear angles = 34
x - (180-x) = 34
x - 180 + x = 34
2x - 180 = 34
2(x - 90) = 34
x - 90 = 17
x = 17 + 90
x = 107

other angle = 180 - 107 = 73°

Smaller angle = 73°

Answer 2

angle 1=x
angle 2=180-x

difference = 34
thus , x-(180-x) = 34
x-180+x=34
2x=34+180
2x=214
x=214÷2
x=107

if x=107..... smaller angle = 180-107
= 73 degrees

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