Question

2 angles of a quadrilateral are 50degree and 80 degree and other are in ratio 8 :15 find these angles

Answer 1

Answer:

These two angles are 80 degrees and 150 degrees respectively.

Step-by-step explanation:

We know that sum of angles of a quadrilateral is 360 degrees.

So 50 + 80 + x + y = 360 degrees

Here the other two angles x and y are in the ratio 8:15,

So we can take the common factor as 'x'.

Therefore the other two angles are 8x and 15x respectively.

Now, 50 + 80 + 8x + 15x = 360

130 + 23x = 360

23x = 360 - 130

23x = 230

x = 230/23 = 10

So 8x = 8x10 = 80 degrees

15x = 15x10 = 150 degrees

So the two angles measure 80 degrees and 150 degrees respectively.