Question

the measure of two angles of quadrilateral are 135 degree and 45 degree .the remaining two angles are equal find the measure of each of the equal angle ​

Answer 1

Answer:

the measure of two angles of a quadrilateral are 135° and 45°

leather remaining two angles are x° & x°

135 + 45 + x + x = 360

180 + 2x = 360

2x = 360 - 180°

2x = 180

x = 180/2

x = 90 °

Answer 2

Given ,

• The measure of two angles of quadrilateral are 135° and 45°

and

• The remaining two angles are equal

Let ,

One of the remaining angle be x

As we know that ,

$\sf \underline{ \star \: The \: sum \: of \: all \: angles \: of \: quadrilateral \: is \: 360°}$

$\sf \Rightarrow 135 + 45 + x + x = 360 \\ \\ \sf \Rightarrow 180 + 2x = 360 \\ \\ \sf \Rightarrow 2x = 80 \\ \\ \sf \Rightarrow x = \frac{80}{2} \\ \\ \sf \Rightarrow x = 40$

$\therefore$ The measure of required angle is 40°