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Maths Exercices

Find missing angles in quadrilaterals

The sum of the measures of the angles of a quadrilateral is 360º.

x+y+z+w=360º

 

Find the value of x in the quadrilateral

 

Since the sum of the angle measures in a quadrilateral is 360º, x+65+85+90=360

x + 65 + 85 + 90
= 360 Write the equation

x + 240
= 360 Add 65, 85, and 90

x+240-240
= 360-240 Subtract 240 from each side

x
= 120 Simplify


So, the value of x is 120º.

Find the value of x in the quadrilateral

 

Since the sum of the angle measures in a quadrilateral is 360º, x+106+131+67=360

x + 106 + 131 + 67
= 360 Write the equation

x + 304
= 360 Add 106, 131, and 67

x+304-304
= 360-304 Subtract 304 from each side

x
= 56 Simplify

So, the value of x is 56º.


What is the measure of the missing angle?



Solution: