Question

11. Each of the two equal angles of an isosceles triangle is four times the third
angle. Find the angles of the triangle.

the person who gives the best answer will be given the brainliest answer

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Answer 1

Answer:

Two equal angles = 80°

Third angle = 20°

Step-by-step explanation:

One equal angle = 4x

Two equal angles = 2 × 4x = 8x

Third angle = x

180° - 8x = x [The sum of three angles of a triangle is 180°]

-8x -x = -180

-9x = -180

x = -180/-9

x =  20

One of the equal angle = 4 × 20 = 80°

Another one of the equal angle = 4 × 20 =80°

Third angle = 20°

HOPE YOU UNDERSTAND!

PLEASE MARK AS BRAINLIEST!

Answer 2

AnswEr:

Given:-

Two equal angles of isosceles triangle is four times the third angle.

To Find:-

Third angle of isosceles triangle

Explanation:-

Let us Consider that the Third angle be x°.

According to Question Now,

By Using Angle sum property of Triangle

$\longrightarrow\sf\: 4x + 4x + x = 180$

$\longrightarrow\sf\: 8x + x = 180$

$\longrightarrow\sf\: 9x = 180$

$\longrightarrow\sf\: x = \dfrac{180}{9}$

$\longrightarrow\large\boxed{\sf{\blue{x\:=\:20}}}$

First Angle = 4× 20 = 80°

Second Angle = 4× 20 = 80°

So, The angles of the Triangle are 80°,80° & 20°.