three angle of a quadrilateral are equal . the fourth angle is twice one of the angle find the measure of each angle
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The sum of the interior angles of a quadrilateral are equal to 360o. To find the fourth angle of a quadrilateral when the other three angles are known, subtract the number of degrees in the other three angles from360o.
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Answered by
35
Answer:
Step-by-step explanation:
Let 3 equal angles be X and 4the angle be 2X as given
So,
X+X+X+2X=360. (Sum of all angles of a quadrilateral is 360)
5X=360
X=360/5
X=72
2X=144
Therefore,3 equal angles measure is 72 degrees and 4the angle is 144 degrees.
Hope this answer helps you.
Answered by
58
Heya,
we know
Sum of all angles of quadrilateral is 360°.
Let three equal angles be
thus, fourth angle will be
now, according to angle sum property of a quadrilateral
Thus, three angles of quadrilateral measures = 72°
and,fourth angle would measure = 2 × 72° = 144°.
Regards
KSHITIJ
we know
Sum of all angles of quadrilateral is 360°.
Let three equal angles be
thus, fourth angle will be
now, according to angle sum property of a quadrilateral
Thus, three angles of quadrilateral measures = 72°
and,fourth angle would measure = 2 × 72° = 144°.
Regards
KSHITIJ
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