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

User Joecritch
by
8.0k points

2 Answers

3 votes

Answer:

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!!

a quadrilateral has angles measuring 56 degrees, 78 degrees, and 90 degrees. how large-example-1
User HalpPlz
by
7.9k points
6 votes

Answer:

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 :)

User Stellarossa
by
9.7k points

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