Question

Find the unknown x and y​

Answer 1

Answer:

x=30 degree

y=120 degree

Step-by-step explanation:

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Answer 2

GIVEN:

• ABC is an isosceles triangle
• Exterior angle is 30°

TO FIND:

• Angle X and Y

SOLUTION:

$\tt \large : \implies \: \: \angle\: ECD=\angle \: BCA = 30 \degree$

$\sf( \because \: vertically \: opposite \: angle)$

$\tt \large : \implies \: \: \angle \:BCA=\angle x = 30 \degree$

$(\sf \because equal \: angle \: of \: isosceles \: triangle.)$

In triangle ABC by applying angle sum property

$\tt \large : \implies \: \:Y+x+\angle BCA=180°$

$\large \tt : \implies \: \: Y+30°+30°=180°$

$\large \tt : \implies \: \: Y = 180 \degree - 60 \degree$

$\large \underline{\boxed{ \tt : \implies \: \: Y = 120 \degree}}$

IMPORTANT PROPERTIES INCLUDED!!

• Angle sum property.
• Vertically opposite angle.
• Property of isosceles triangle.