Two angles are supplementary.If one of them is 30° less than five times the other. find the angles.
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Step-by-step explanation:
Name the quadrilaterals which have both line and rotational symmetry of order more than 1.
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Let the angles be x and y
x + y = 180…..(i)
y = 4x + 30……(ii)
Hence, x + 4x + 30 = 180 [substituting (ii) in (i)]
Hence, 5x + 30 = 180
Hence, 5x + 30 - 30 = 180 - 30
Hence, 5x = 150
Hence, 5x/5 = 150/5
Hence, x = 30
Substitute in (ii)
y = 4*30 + 30 = 5*30 = 150
The angles are 30 and 150 degrees.
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