Question

one of the angle of a triangle is equal to sum of two two angles.if the ratio of two angles is 1:2 , find the angles of triangle​

Answer 1

AnsWeR :-

It is clearly states that angle of a triangle is equal to the sum of other two angles.

GivEn :-

• The Ratio of two angles = 1:2

• The Sum of two angles = an angle of a triangle

To FinD :-

• The Angles of the Triangle.

Solution :-

The Sum of two angles = One Angles

and the Ratio of Angles = 1:2

• Consider angles = 1 x and 2x

According to the Question It states That :-

• 1x + 2x = The One angle

• 1x + 2x = 3x

$\bold{ \pink{★Angles = 1x,2x,3x}{} }{}$

Now,

We Know that Angle sum of a Triangle = 180°

• 1x + 2x + 3x = 180

• 6x = 180

$\bold{ \pink{x = 30}{} }{}$

Substitute the Value of x in the angles.

1x = 30

2x = 60

3x = 90

Here We came to Know that the Triangle is Right angled

VeificaTion :-

Angle sum of a Triangle = 180

• 30 + 60 + 90 = 180

Hence,

• 180 = 180

$\boxed{ \bold{ \purple{★Hence \: Stated}{} }{} }{}$