Question

Answer Only no need OF explanations please answer fast

Answer 1

Answer:

The value of y is 15 and x is 60.

Answer 2

Given:

In ∆ ABC, <A=x° , <CBD=7y° and <C=3y°, <CBA=5y°.

To Find:

⚫Value of x=?

Solution:

<A+<C+<CBA=180°...... (Sum of all angles of a triangle)

: . x+3y+5y=180°

: . x+8y=180°................... (1)

Here, <CBA is an exterior angle of a ∆ABC.

So, By Exterior angle of a triangle,

<CBA=<C+<A

: . 7y=3y+x

: . =7y-3y=x

: . x=4y

Now, substituting the value x in (1),

4y+8y=180°

12y=180°

y=180/12

y=15.

Now substituting the value of y in (1) we get,

x+8(15) =180°

x+120=180°

x=180-120

x=60.

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So the value of x is 60°.

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In ∆ ABC,

<A=x°=60°

<C=3y°=3(15) =45°

<B=5y°=5(15) =75°

<CBD=7y=7(15) =105°

#Siddhi

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