Question

two angles of a quadrilateral are 70degrees and 40degrees and remaining two angles are in the ratio 2:3 find the measure of each of the angles​

Answer 1

Step-by-step explanation:

sum of all angles in quadrilateral is 360°

Answer 2

Given: Two angles of a quadrilateral are $70$° and $40$°.

           Other two angles are in the ratio $2:3$

To find:  other two angles of quadrilateral.  

Step-by-step explanation:

Sum of all angles of a quadrilateral is $360$°.

Let the other two angles of quadrilateral be ($2x$)° and ($3x$)° .

$70$°$+40$°$+2x+3x$ $= 360$°

⇒$110$°$+ 5x = 360$°

⇒$5x= 360$°$-110$°

⇒$5x= 250$°

⇒$x= (\frac{250}{5})$°

⇒$x= 50$°

⇒$2x= 2(50)= 100$°

    $3x= 3(50)= 150$°

Therefore, four angles of given quadrilateral are $70$°,$40$°, $100$°, and $150$°.