If angles of a linear pair are equal, then the measure of each angle is
(a) 30°
(b) 45°
(c) 60°
(d) 90°

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Solution

Let the required angle be x
Now, Sum of linear pair angles = 180^∘
⇒ x + x = 180^∘
⇒ 2x = 180^∘
⇒ x = 90^∘
Hence, the correct answer is option (d).

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Similar questions

If angles forming a linear pair are equal, then each of these angles is of measure 90 $^{\circ}$ .

Q. If two acute angles of a right triangle are equal, then each acute is equal to

(a) 30°

(b) 45°

(c) 60°

(d) 90°

The measure of an angle which is its own complement is
(a) $30^{\circ}$
(b) $60^{\circ}$
(c) $90^{\circ}$
(d) $45^{\circ}$

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. Mark (✓) against the correct answer
An angle is its own complement. The measure of the angle is

(a) 30°
(b) 45°
(c) 90°
(d) 60°

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If angles of a linear pair are equal, then the measure of each angle is (a) 30° (b) 45° (c) 60° (d) 90°

Let the required angle be x Now, Sum of linear pair angles = 180∘ ⇒ x + x = 180∘ ⇒ 2x = 180∘ ⇒ x = 90∘ Hence, the correct answer is option (d).

If angles of a linear pair are equal, then the measure of each angle is
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Let the required angle be x
Now, Sum of linear pair angles = 180^∘
⇒ x + x = 180^∘
⇒ 2x = 180^∘
⇒ x = 90^∘
Hence, the correct answer is option (d).