Question

two angles of a quadrilateral are 50 and 80 degrees. if the other two angles are in the ratio 8 : 15 find remaining two angles

Answer 1

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Answer 2

Given - Angles of quadrilateral 50, 80, 8:15

Find - Remaining angles of quadrilateral

Solution - The sum of all the angles of quadrilateral is 360°. Further, let the remaining two angles of quadrilateral be 8x and 15x.

Now, adding up all the angles and expressing it in mathematical form.

50° + 80° + 8x + 15x = 360°

Performing addition -

23x + 130° = 360°

23x = 360° - 130°

Performing subtraction -

23x = 230°

Performing division -

x = 230/23

x = 10°

Now calculating the remaining angles of quadrilateral.

First angle = 8x

First angle = 8*10

First angle = 80°

Second angle = 15x

Second angle = 15*10

Second angle = 150°

Thus, the remaining angles of quadrilateral are 80° and 150°.