Two angles of quadrilateral are 140° and 100° if remaining two angles are eqal then the measure each angle eqal to ________
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1
Answer:
60 degrees
Step-by-step explanation:
sum of all angles of a quad is 360
2 angles are 140 and 100 so the sum of remaining 2 angles will be 120
therefore each angle will be of 60 degree
Answered by
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Step-by-step explanation:
let ABCD be a quadrilateral
GIVEN: two angles in a quadrilateral are 140° and 100°.
let angle A=140°
angle B=100°
GIVEN: Remaining two angles are equal
let angle C= angle D=x
sum of all angles in a quadrilateral=360 °
angle A+angle B+angleC+AngleD= 360°
140°+100°+x+x=360°
240°+2x=360°
2x= 360°-240°
2x=120°
x=120°÷2
x=60°
therefore the measure of each angle is 60°
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