Question

Q3.
Two angles of a quadrilateral are 50° and 80° and other two angles are in
ratio 8:15, then find the remaining two angles​

Answer 1

Answer:

Step-by-step explanation:

80 +50 = 130

130+x =360 ( sum of all angles in quadrilateral is 360)

x = 230 ------ (1)

Now we have ratio other two angles

That is 8:15

Let ratio be 8x and 15x

Using equation (1)

8x +15x = 230

x = 10

8x = 8×10=80

15x = 15×10 150

80 and 150 are other two angles .

Answer 2

Answer:

other angle is 80°,150°

Step-by-step explanation:

let other two angle is 8x,15x

( angle of quadrilateral is 360°)

50°+80°+8x+15x = 360°

130°+23x = 360°

23x = 360° - 130°

23x = 230°

x = 10°

therefore ,

8x= 8×10

= 80°

15x =15×10

=150°

therefore ,

other angle is 80° ,150°