Question

Understqnding quadilaterals

Answer 1

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

Ad we know that some of adjacent angles of a quadrilateral is 180°, so

( 2y + 10° ) + ( 3y - 40° ) = 180°

5y - 30° = 180°

5y = 180° + 30°

y = 210° / 5 or 42°

So 1st adjacent side ( 2y + 10° ) = (2)(42°) + 10°
= 94°

Another angle( 3y - 40° ) = (3)(42°) - 40°
= 126° - 40° = 86°

Now, as mentioned quadrilateral is parallelogram, so opposite angles are equal

So required angles are = 94°, 86°, 94°, 86°

Hope it helps