Two adjacent angles are equal. Is it necessar | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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.

Similar Questions

Ray $BD$ is the bisector of $\angle ABC$ and ray $BE$ is the bisector of $\angle DBC$. If $\angle EBC = 19^{\circ},$ then find $\angle DBC, \angle ABC$ and $\angle ABE$.

State whether each of the following statements is true or false:
$(1)$ The maximum number of right angles in any triangle is two.
$(2)$ The supplementary angle of the complementary angle of an angle having measure $33^{\circ}$ has measure $123^{\circ}$.

In the following figure,in $\Delta ABC$,$\angle ABC = 70^{\circ}$ and $\angle ACB = 60^{\circ}$. Find $\angle ABD$ and $\angle ACE$.

Find the measure of an angle,which is one-eighth of the measure of its supplementary angle. (in $^o$)

$\angle ABC$ and $\angle ABD$ are a linear pair of angles. If $\angle ABC : \angle ABD = 17 : 13$,then find $\angle ABC$ and $\angle ABD$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module