The angle which makes a linear pair with the angle measuring $58^{\circ}$ is :

29^{\circ}

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61^{\circ}

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122^{\circ}

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199^{\circ}

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Solution

The correct option is C $122^{\circ}$
Let other angle be $x^{\circ}$ .
Then,
$180^{\circ} = 58^{\circ} + x^{\circ}$ $∵$ sum of the angles making a linear pair = $180^{\circ}$ .
$\Rightarrow x^{\circ} = 180^{\circ} - 58^{\circ}$
$\Rightarrow x^{\circ} = 122^{\circ}$ .
Hence, the angle which makes a linear pair with an angle measuring $58^{\circ} i s 122^{\circ}$ .

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Similar questions

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

Q. The angle which makes a linear pair with the angle measuring

58^{\circ}

is :

Question 6
The angle which makes a linear pair with an angle of $61^{\circ}$ is of
(a) $29^{\circ}$
(b) $61^{\circ}$
(c) $122^{\circ}$
(d) $119^{\circ}$

Q. The angle which makes a linear pair with an angle of

61^{\circ}

is of

The angle which makes a linear pair with an angle of $61 °$ is of

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The angle which makes a linear pair with the angle measuring 58∘ is :

The correct option is C 122∘Let other angle be x∘. Then, 180∘=58∘+x∘ ∵ sum of the angles making a linear pair = 180∘. ⇒x∘=180∘−58∘ ⇒x∘=122∘. Hence, the angle which makes a linear pair with an angle measuring 58∘ is 122∘.

The angle which makes a linear pair with the angle measuring $58^{\circ}$ is :