One angle of an isosceles trapezoid has a measure of 57 degrees. What are the measures of the other angles?

α = 5 7 o T h e in t er i or an g l e a t t h e s h or t es t ba se i s e q u a l t o : β = 18 0 o − 5 7 o = 12 3 o

Answered by Lilith | 2024-06-10

In an isosceles trapezoid the two adj angles are equal & the two opposite angles are equal & the sum of the interior angles =360 so 57 + 57 = 114 360-114 = 246 the other angles are 246/2 = 123 the measure of the other angles are 57,123 & 123

Answered by Poknoy | 2024-06-24

In the isosceles trapezoid, if one angle measures 5 7 ∘ , then the opposite angle also measures 5 7 ∘ . The other two angles, being equal, each measure 12 3 ∘ . Therefore, the final angle measures are 5 7 ∘ , 5 7 ∘ , 12 3 ∘ , and 12 3 ∘ .
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Answered by Poknoy | 2024-12-16