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