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

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

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Solution

Given : Angles forming a linear pair are equal.

Let us assume two equal angles to be $x$

$\Rightarrow x + x = 180^{\circ}$

$\Rightarrow 2 x = 180^{\circ}$

$\Rightarrow x = \frac{180^{\circ}}{2}$

$\Rightarrow x = 90^{\circ}$

Hence, the given statement is true.

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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 $90^{\circ}$ .

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

State true or false:

If angles forming a linear pair are of equal measure, then each of these angles is of measure

90^{o}

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

ii. If two adjacent angles are equal, then each angle measures

90^{\circ}

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

iii. Angles forming a linear pair can both be acute angles

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Linear Pair

Standard VIII Mathematics

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Which of the following statements are true (T) and which are false (F) ?​ iv. If angles forming a linear pair are equal, then each of these angles is of measure 90∘

Given : Angles forming a linear pair are equal. Let us assume two equal angles to be x ⇒x+x=180∘ ⇒2x=180∘ ⇒x=180∘2 ⇒x=90∘ Hence, the given statement is true.

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

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

Given : Angles forming a linear pair are equal.

Let us assume two equal angles to be $x$

$\Rightarrow x + x = 180^{\circ}$

$\Rightarrow 2 x = 180^{\circ}$

$\Rightarrow x = \frac{180^{\circ}}{2}$

$\Rightarrow x = 90^{\circ}$

Hence, the given statement is true.