Math, asked by aditya2253812, 1 year ago

please help me ????????

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aditya2253812: x=130 y=75

aditya2253812: yes

aditya2253812: please solve in copy

aditya2253812: and senf me

Answers

Answered by lionheartshivakshi

I have assumed here that you know all the laws and theorems the question revolves around. Hope this helps you.

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lionheartshivakshi: welcome

aditya2253812: thanks a lot

lionheartshivakshi: You can mark it as the brainiest if it helped you

aditya2253812: yes it is helped me but the option show when two people answers the question

aditya2253812: sorry

Answered by InesWalston

Solution-

As AB=AD,

⇒ ΔABD is an isosceles triangle.

An isosceles triangle has two sides the same length and two angles the same. The two angles at the 'feet' of these sides are equal, i.e the angles that are not between the sides of the same length.

So,

m∠ADB = m∠ABD = 50°

∵ m∠ADB + m∠ADE = 180° (As they supplementary angles)

⇒ 50°+ x = 180°

⇒ x = 130°

And m∠CAD = 25°

m∠ACB = m∠CAD + m∠ADC

( As an exterior angle of a triangle is equal to the sum of the opposite interior angles.)

m∠ACB = m∠CAD + m∠ADB (As ∠ADB=∠ADC)

⇒ y = 25° + 50° = 75°

⇒ y = 75°

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