Question

A quadrilateral has three acute angels,each measure 80°.what is the measure of the fourth ?

Answer 1

Answer:

120°

Step-by-step explanation:

Let each of the equal acute angles= x(= 80°)

Let the 4th angle= y

Sum of angles in a quadrilateral= 360°

Thus, x+x+x+y= 360°

3x+y= 360°

3(80°)+y= 360°

240°+y= 360°

y= 360°-240°= 120°

4th angle, y= 120°

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Answer 2

Answer:

Let's take the unknown angle as x.

Then,

80° + 80° + 80° + x = 360°

240° + x = 360°

x = 360° - 240°

x = 120°

The fourth angle measures 120°.

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