Math, asked by ankitpatel1184, 1 year ago

Three angles of a quadrilateral are 80 digree, 95 digree, and 112 digree . Its fourth angle is answer it











Three angles of a quadrilateral are 80 degree 95 degree and 112 degree its fourth angle is answer it it

Answers

Answered by chetan2255
41

We know that The sum of four angles of a quadrilateral is 360 degree

IT means angle 1+2+3+4=360degree

80+95+112+angle 4=360

287+angle 4 =360

Angle 4 =360-287

Angle 4 =

73 degree. . . . Ans.

Answered by Dhruv4886
2

Given:

Three angles of a quadrilateral are 80 degrees, 95 degrees, and 112 degrees

To Find:

Its fourth angle is

Solution:

A quadrilateral is a closed 2-dimensional figure with 4 sides. The total sum interior angles of a quadrilateral are 360 degrees. As there are 4 sides in a quadrilateral there are also 4 angles in it.

It is given to us that the three angles of a quadrilateral are 80 degrees, 95 degrees, and 112 degrees  and we need to find the 4th angle, let the fourth angle be x,

Now using the property of quadrilateral we have,

[tex]x+80+95+112=360\\ x=360-287\\ x=73[/tex]

So the 4th angle comes as 73 degrees.

Hence, the fourth angle of the quadrilateral is 73 degrees.

Similar questions