Question

a quadrilateral has angles measuring 56 degrees, 78 degrees, and 90 degrees. how large is the missing angle?

Answer 1

Hey.... Ans is 154°

The mate who ans before me HAVE TO FIND x TOO

Explanation:

For example take a quadrilateral ABCD (refer to the pic)

Then solution is...

In quadrilateral ABCD

Sum of all sides of a quadrilateral= 360°

=angle A + angle B+ angle C+ angle D=

Given,

Angle A= 56° + angle B=78° + angle C=90° + angle D=x

=56° + 78° + 90° + x. (add all the numbers)

x+226=360° (56+78+90=226)

x=360° - 226°

x=154°

Therefore the largest angle = x = 154°

Hope it helped u!!

Answer 2

Hey there!

Angles in a quadrilateral add to 360 degrees, so we have 56+78+90+x=360

Solving, we see that the missing angle, x, is 136 degrees.

Hope this helps :)