Question

The measures of the three angles of a quadrilateral are 65°, 75° and 85°. Find the measure of the fourth angle.

Answer 1

To find : measure of fourth angle of quadrilateral .

Given : measure of three angles of quadrilateral are $65$°, $75$° ,$85$°

Solution :

• As per given data we know that measure of three angles of quadrilateral are $65$°, $75$° ,$85$°  .We are asked to find measure of fourth angle of quadrilateral .
• As we know that , sum of measure of all the four angles of quadrilateral are $360$° .
• Let , fourth angle of quadrilateral be $x$ .
• Therefore ,

      $65 + 75 + 85 + x = 360$

      $\\225 + x = 360$

               $\\x = 135$°

Hence , measure of fourth angle is $135$° .