Question

In the figure,
line AB parallel line DE.
Find measure of
angle DRE and angle ARE.​

Answer 1

DRE= 70°
ARE= 110°.

HOPE IT'S HELPFUL MATE!!

Answer 2

AB//DE

So, AD and RE are the transversals.

Angle BAD =Angle ADE [ Alternate Interior angles]

Angle ADE = 70°

Using Angle Sum property in triangle DRE,

40° + 70° + DRE = 180°

DRE = 180° - 110°

$\sf{\huge {DRE\: = \:70°}}$

ARD forms a linear pair.

Angle DRE + Angle ARE = 180°

70° + ARE = 180°

ARE = 180° - 70 °

$\sf{\huge{Angle\: ARE\: = \:110°}}$