Question

Find x,y,z and w in the following figure ​

Answer 1

${\huge{ \boxed{ \boxed{ \underline{ \underline{ \bf{ \green{ \star{Answer{ \star}}}}}}}}}}$

${\boxed {\bf {x = 60 ^{\circ}}}}$

${\boxed {\bf{y = 245^{\circ}}}}$

${\boxed {\bf{z = 110^{\circ}}}}$

${\boxed {\bf{w= 115^{\circ}}}}$

Step-by-step explanation:

• x = 180 - 120 = 60° [ Linear Pair ]

${\boxed {\bf {x = 60 ^{\circ}}}}$

z = 180 - 70 = 110° [ Linear Pair]

${\boxed {\bf{z = 110^{\circ}}}}$

• w = 360 - (55 + 70 + 120 ) [ Exterior angles of quadrilateral add up to 360°.

• w = 360 - 245

${\boxed {\bf{w= 115^{\circ}}}}$

• y = 360 - w

• y = 360 - 115

${\boxed {\bf{y = 245^{\circ}}}}$

♤____________________________♤