<PRE><B>Question 841643</B>
A quadrilateral has angles of x degrees, 3x degrees, 90 degrees and (x+20) degrees.
a) Write down an equation in x and solve it.
b) What are the sizes of the angles?
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a) Write down an equation in x and solve it.



All the angles add to 360 degrees, so,


angle1 + angle2 + angle3 + angle4 = 360


x + 3x + 90 + x+20 = 360


5x + 110 = 360


5x = 360-110


5x = 250


x = 250/5


x = 50



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b) What are the sizes of the angles?


x = 50

3x = 3*50 = 150

90 = 90

x+20 = 50+20 = 70


The four angles are: 50 degrees, 150 degrees, 90 degrees, 70 degrees</PRE>