Question 841643: 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?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 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
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