Question

As show in the figure find x and y if angle ACB = 100° , angle ADE = 120°​

Answer 1

QUESTION⤵️

As show in the figure find x and y if angle ACB = 100° , angle ADE = 120°

ANSWER⤵️

as BD is a straight line

100° + X = 180 ° ( linear pair)

X = 180°-100°

$\longrightarrow\pink{X = 80° }$

as C E is a straight line

120° + angle ADC = 180°. ( linear pair)

angle ADC = 180° - 120°

angle ADC = 60°

in triangle ACD

X+ y + angle ADC = 180°. ( angle sum property)

80° +y + 60° = 180°

y = 180° - 140°

$\longrightarrow\red{y = 40° }$

$\huge\star\mathcal\purple{hope \: it \: helps}\star</p><p></p><p>$