Question

The sum of two angles of a quadrilateral is 160 degree. The other two angles are in ratio of 2:3. Find all angles.

Answer 1

Concept:

A four-sided polygon with four edges and four corners is known as a quadrilateral.

Given:

The sum of two angles of a quadrilateral is 160 degrees. The other two angles are in the ratio of 2:3.

To find:

All angles.

Solution:

A four-sided polygon with four edges and four corners is known as a quadrilateral.

Let the other two angles be 2x and 3x.

The sum of two angles of a quadrilateral is 160 degrees. The other two angles are in the ratio of 2:3.

Sum of angles of a quad.=360

$160+2x+3x=360\\5x=360-160\\x=200/5\\x=40$

Now, putting the value of x=40 and we will get

$2x=2*40\\=80\\3x=3*40\\=120$

∴The required angles are 40, 80, and 120.

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Answer 2

Answer:
AnswerAnswer
Step-by-step explanation:

Concept:
A four-sided polygon with four edges and four corners is known as a quadrilateral.

Given:
The sum of two angles of a quadrilateral is 160 degrees. The other two angles are in the ratio of 2:3.

To find:
All angles.

Solution:
A four-sided polygon with four edges and four corners is known as a quadrilateral.

Let the other two angles be 2x and 3x.

The sum of two angles of a quadrilateral is 160 degrees. The other two angles are in the ratio of 2:3.

Sum of angles of a quad.=360



Now, putting the value of x=40 and we will get



∴The required angles are 40, 80, and 120.

#SPJ2