Math, asked by musamuhmmad095, 2 months ago

one angle of an isosceles trapezoid has a measure of 120 what are the measures of the other three angles​

Answers

Answered by pavanmuppavarapu
6

Answer:

30°,30°and 120°

Step-by-step explanation:

an isosceles trapezoid has 2 sides equal which means opposite sides are equal ..sum of all angles is 360°

Answered by annasl
2

Answer:

the other angles of the trapezoid are 120°, 60°, 60°

Step-by-step explanation:

given: angle A = 120°

in an isosceles trapezium, there are 2 parallel sides

AB || CD

length of non parallel sides are equal

AD = BC

angle A and angle B are congruent

also angle C and angle D are congruent

thus, angle A = angle B and angle C = angle D

therefore angle B = 120°

sum of interior angles = 360°

the opposite angles are supplementary:

angle A + angle C = 180° and angle B + angle D = 180°

thus, angle C = 180-120

angle C = 60°

and angle D = 60°

hence, the other angles of the trapezoid are 120°, 60°, 60°

refer to the image attached

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