Question

the angle of the quadrilateral is 70 , 90 and 80 degree .The fourth angle is​

Answer 1

Answer:

120

Step-by-step explanation:

sum of all angles in a quadrilateral =360

given angles 70,80,90

70+80+90+x=360

240+x=360

x=120

Answer 2

Given:-

Three angles of a quadrilateral are 70°, 80°, 90°

To Find:-

Fourth angle of quadrilateral?

Solution:-

$\Longrightarrow \dag$ As we know the sum of all angle of a quadrilateral is 360°.

Let the fourth angle be 'x'

50° + 70° + 90° + x = 360°

Now, according to the question:-

$\longrightarrow70° + 90° + 80° + x = 360° \\ \\\longrightarrow 240° + x = 360° \\ \\\longrightarrow x = 360°- 240° \\ \\ \longrightarrow \dag { \boxed{ \underline{ \rm{ \blue{x = 120°}}}}}$

Hence, the measure of fourth angle is 120°.