Two consecutive angles of a parallelogram are (3y + 10) and ( 3y – 4)⁰ . Find the measures of all the angles .
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Two adjacent angles of parallelogram are (3y + 10) and (3y-4)". Find the measure of all angles of the parallelogram. .
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Step-by-step explanation:
We know that the consecutive angles of parallelogram are supplementary,therefore
3y+10=180-(3y-4)
3y+10=180-3y+4
3y+3y=180+4-10
6y=174
y=174÷6=29
so we got the value of y,then put the y in ur equation
3y+10= 3×29+10 =97°
3y-4= 3×29-4 = 83°
Since opposite angles are equal in a parellelogram,therefore
the measure of two angles is 83° ;and
the measure of two angles is 97°
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