Question

The measurement of an angle of a quadrilateral is 165° and the remaining three angles are equal. Calculate the three angles of quadrilateral.​

Answer 1

Answer:

65°

Step-by-step explanation:

Given,

Angle of a quadrilateral is 165°

Remaining three angles are equal

Sum of total angles in a quadrilateral is 360°

Let the equal angles be x,

165+x+x+x= 360

165+3x=360

3x=360-165

3x=195

x=65

The remaining equal angles are 65° each.

Hope it helps..

Answer 2

✭ Question -:

The measurement of an angle of a quadrilateral is 165° and the remaining three angles are equal. Calculate the three angles of quadrilateral.

✭ Explanation -:

In this question we are provided with the measures of one angle of a quadrilateral is 165° and it is also given that the remaining three angles are equal. We are aske dto calculate the three angles of quadrilateral.

We know,

$\large\star \: \small \boxed{\sf{ The \: sum \: of \: the \: angles \: of \: a \: quadrilateral = 360°}}$

It is given that one angle is 165°. Three angles are equal so let us assume each angles as x.

According To Question

$\small\rm{ 165° + x + x + x = 360° }$

$\small\rm{ 3x = 360° - 165° }$

$\small\rm 3x = 195 \degree$

$\small\rm x = \dfrac{195°}{3} = 65 \degree$

$\small \underline{\boxed { \sf{x = 65 \degree}}}$

Hence the angles of a quadrilateral are 165° , 65° , 65° and 65°.