The angles in a linear pair are consecutive odd numbers. What are its measures?

89 and 91

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88 and 91

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91 and 87

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86 and 90

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Solution

The correct option is A 89 and 91

$x + y = 180^{\circ}$
Consider two consecutive numbers to be 2x + 1 and 2x + 3
$2 x + 1 + 2 x + 3 = 180^{\circ}$
$4 x + 4 = 180^{\circ}$
$4 x = 180 - 44 x = 176$
x=44
Then
$2 x + 1 = 2 \times 44 + 1 = 88 + 1 = 89$
$2 x + 3 = 2 \times 44 + 3 = 88 + 3 = 91$
89 and 91 are 2 two consecutive odd number which forms a linear pair.

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The angles in a linear pair are consecutive odd numbers. What are its measures?

The correct option is A 89 and 91 x+y=180∘ Consider two consecutive numbers to be 2x + 1 and 2x + 3 2x+1+2x+3=180∘ 4x+4=180∘ 4x=180−4 4x=176 x=44 Then 2x+1=2×44+1=88+1=89 2x+3=2×44+3=88+3=91 89 and 91 are 2 two consecutive odd number which forms a linear pair.