Question

if each of the two equal angles of an isosceles triangle is four times the third angle, find the three angles of the triangle.

Answer 1

Answer:

Step-by-step explanation:

Given :-

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

To Find :-

The Third Angle

Formula to be used :-

Triangle Sum Property

Solution :-

Let the Third angle be x.

According to the Question,

⇒ 4x + 4x + x = 180 [Angle Sum Property]

⇒ 9x = 180

⇒ x = 180/9

⇒ x = 20

1st Angle = 4x = 80°

2nd Angle = 4x = 80°

3rd Angle = x = 20°

Hence, the angle are 80°, 80° and 20°.

Answer 2

$\large \underline{ \underline{ \: \sf Solution : \: \: \: }}$

Let ,

the third angle = x

According to the question ,

$\sf \implies 4x + 4x + x = 180 \: ( \: \because \: angle \: sum \: property \: ) \\ \\ \sf \implies </p><p>9x = 180 \\ \\ \sf \implies x = \frac{180}{9} \\ \\ \sf \implies</p><p>x = 20$

$\therefore$20 , 80 , and 80 are the angles of given triangle