Three angles of a quadrilateral are equal. the fourth angle is of measure 150. what is the measure of each equal angle
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uphello frnd!
here's ur answer...
let the three equal Angles be x,x and x
we know that the sum of interior angle in a quadrilateral is 360°.
and one of the 4 angle is 150°
therefore x+x+x+150°=360°
→3x+150=360°
→3x=360-150
→3x=210
→x=210/3
→x=70°
hence the measure of each equal angle in the quadrilateral is 70°.
★ verification:-
=70°+70+°70°+150°
=140°+220°
=360°
hence verified.
thus the angles in the quadrilateral are 70°,70°,70° and 150°.
hope this helps..!
here's ur answer...
let the three equal Angles be x,x and x
we know that the sum of interior angle in a quadrilateral is 360°.
and one of the 4 angle is 150°
therefore x+x+x+150°=360°
→3x+150=360°
→3x=360-150
→3x=210
→x=210/3
→x=70°
hence the measure of each equal angle in the quadrilateral is 70°.
★ verification:-
=70°+70+°70°+150°
=140°+220°
=360°
hence verified.
thus the angles in the quadrilateral are 70°,70°,70° and 150°.
hope this helps..!
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