the angle of a quadrilateral are in a following ratio find the measure of each angle.
a.) 1:3:4:7
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the angle of a quadrilateral are in a following ratio find the measure of each angle.
a.) 1:3:4:7
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Therefore, let’s take it as,
1 = 1x = x
3 = 3x
4 = 4x
7 = 7x
According to angle sum property, the sum of angles of any quadrileteral should be 360*. [Here, we will use ‘*’ as the symbol of degree.
Therefore, x + 3x + 4x + 7x = 360*
Therefore, 15x = 360*
Therefore, x = 360*/15
Therefore, x = 24*
Now,
1x = x = 24*
3x = 3(24) = 72*
4x = 4(24) = 96*
7x = 7(24) = 172*
Therefore, your required angles are 24*, 72*, 96* and 172*.