Question

three angles of a quadrilateral are equal and the measure of the fourth angle is 165 degree find the measure of each angle of the equal aanglesthree angles of a quadrilateral are equal and the measure of the fourth angle is 165 degree find the measure of each angle of the equal angles​

Answer 1

Answer:

Sum of all angles of a quadrilateral is equal to 360.

Let all equal angles of a quadrilateral be x

=> x + x + x + 165° =360°

=> 3x + 165° = 360°

=> 3x = 360° - 165°

= 3x = 195°

= x =

Therefore, x= 65°

Step-by-step explanation:

Answer 2

Answer:

Each angle of a quadrilateral will be 65 degrees.

Step-by-step explanation:

Given: Three angles of a quadrilateral are equal and the measure of the fourth angle is 165 degrees.

We have to find the measure of each angle.

We are solving in the following way:

It is given that three angles are equal and the measure of the fourth angle is 165 degrees.

Let the measure of each of the equal angles be x.

We know that the sum of four-measure of angles of a quadrilateral is 360 degrees.

$\begin{array}{l}\Rightarrow x+x+x+165^{\circ}=360^{\circ} \\\Rightarrow 3 x+165^{\circ}=360^{\circ} \\\Rightarrow 3 x=360^{\circ}-165^{\circ}\\\Rightarrow 3 x=195^{\circ}\\\Rightarrow x=\frac{195}{3} \\\Rightarrow x=65^{\circ}\end{array}$

Hence, each angle of a quadrilateral will be 65 degrees.

NOTE:

Q. Three angles of a quadrilateral are equal and the measure of the fourth angle is 165 degrees. find the measure of each angle of a quadrilateral.