Question

Please help me...answer fast if possible​

Answer 1

Answer:

50+80+x=180

x=50

pls mark me as the brainliest!!!

Answer 2

$\pink\bigstar$ Answer:

$\rm \boxed{x \:=\: 50°\:}$

$\red\bigstar$ Given:

• CD || AB
• $\angle$ECD = 100°
• $\angle$EAB = 50°

$\blue\bigstar$To find:

• The value of x.

$\green\bigstar$ Construction:

• Extend EC to F.

$\blue\bigstar$ Solution:

$\because$ CD || AB and EF is the transversal,

$\therefore$ $\angle$ ECD = $\angle$CFB = 100°

( Corresponding angles )

$\because$ $\angle$CFB and $\angle$ EFA are forming a linear pair,

$\therefore$ $\angle$CFB + $\angle$ EFA = 180°

$\implies$ 100° + $\angle$EFA = 180°

$\implies$ $\angle$EFA = 180° - 100°

$\implies$ $\rm\boxed{ \angle EFA\: = \:80°\:}$

Now in $\triangle$ EAF,

x + $\angle$EAF + $\angle$EFA = 180°

$\implies$ x + 50° + 80° = 180°

$\implies$ x + 130° = 180°

$\implies$ x = 180° - 130°

$\implies$ $\boxed{x \:=\: 50°\:}$

$\therefore$ $\rm \boxed{x \:=\: 50°\:}$

$\pink\bigstar$ Concepts used:

• Linear Pair
• Corresponding Angles
• Angle Sum Property Of A Triangle