Question

In an Isocelese triangle a base angle is four times it's vertical angle. find all angle of triangle∆ ​

Answer 1

Step-by-step explanation:

$\huge\fbox\red{♛Answer♛}$

we know in an isosceles triangle the base angles are equal .

Let the vertical angle be x

so the base angles are 4x,4x

we know the sum of angle of a triangle is 180°

$\huge\purple{According \:to \:the \:question}$

=>4x+4x+x=180°

=>9x=180°

$x = \frac{180}{9} \\ x = 20$

so 4x=4×20=80°

$\pink{All \:angles\: of\: the \:triangle\: are \:20°,80°,80°}$

Answer 2

Answer:

let the vertical angle be x° .

now,

the another vertical angle be also x(isosceles triangle) and the base angle =4x°

The sum property of a triangle =180°degree

x+4x+x=180°

6x=180°

x=180°/6

x=30°

the two vertical angle=30°

the base angle =120°