Question

If the measurement of three angles of a quadrilateral are 60°,80°,90° respectively then the measurement of the fouth angle will be_______​

Answer 1

Answer:

130⁰

Step-by-step explanation:

Ans. will be 130⁰

summ of all angles of quadrilateral is equal to 360⁰

80⁰+ 90⁰+60⁰ + x = 360⁰

230⁰+ x = 360⁰

x= 130⁰ans ....

Answer 2

To find : measurement of fourth angle of quadrilateral.

Given : measurement of three angles is : $60$° ,$80$°, $90$°

Solution :

• According to question we are given measurement of three angles of quadrilateral and have to find measurement of fourth angle of quadrilateral.

• We know that , sum of all the four interior angles of quadrilateral is $360$°  

• let measurement of fourth angle be $x$.

• Therefore, we have , $60$° $+$ $80$° $+$ $90$° $+ x$ $= 360$°
• On solving above equation we can find the measurement of  missing angle .

          $230$° $+ x =$ $360$°  

                   $x =$ $360$° $- 230$°

                   $x = 130$°

Hence , measurement of fourth angle be $130$°.