Question

The three angles of quadrilaterals are equal. if the mesure of fourth angle is 120°,then the mesure of each of the equal angle is​

Answer 1

Hope it helps...

mr.professor ...

Answer 2

$\underline{ \pink{ \rm GIVEN \: \: DATA\: \: : }}$

The Three angles of Quadrilateral are Equal

And, The measure of the fourth angle is 120°

$\underline{ \purple{ \rm TO \: \: FIND \: \: : }}$

Measure of Each Angle .

$\underline{ \red{ \rm SOLUTION \: \: : }}$

Let the three angles be x

so,

By using sum of angles in a Quadrilateral property.

$\boxed{ \blue{\rm Sum \: \: of \: \: all \: \: angles \: \: in \: \: a \: \: quadrilateral \: \: is \: \: }\bf{360 \degree}}$

$\rm x + x + x + 120 = 360$

$\rm3x + 120 = 360$

$\rm3x = 360 - 120$

$\rm3x = 240$

$\rm x = \frac{240}{3}$

$\boxed{ \orange{ \bf{x = 80 \degree}}}$

Then,

The angles in the Quadrilateral are 80° , 80° , 80° ,120°