Two adjacent angles are equal. Is it necessar | vedclass

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(B) No,it is not necessary that each of these angles will be a right angle.Two adjacent angles are defined as angles that have a common vertex,a commo

Vedclass · Accepted Answer

No,they do not have to be right angles.

Vedclass · Answer

(B) No,it is not necessary that each of these angles will be a right angle.Two adjacent angles are defined as angles that have a common vertex,a common arm,and non-common arms on opposite sides of the common arm.If two adjacent angles are equal,let each angle be $x$. Their sum is $2x$.For these angles to be right angles ($90^{\circ}$ each),their sum must be $180^{\circ}$ (i.e.,they must form a linear pair).However,adjacent angles can have any measure as long as they satisfy the definition of adjacency. For example,two adjacent angles of $45^{\circ}$ each are equal but are not right angles.

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

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