Find the unknown angles of an isosceles trapezoid ABCD, in cases where: a) angle A is 75 ° b) angle B = 3 angles A
Find the unknown angles of an isosceles trapezoid ABCD, in cases where: a) angle A is 75 ° b) angle B = 3 angles A c) angle B- angle A = 60 ° d) angle A + angle B + angle C = 300 ° e) angle A + angle B + angle D = 250 ° e) angle B + 3 angles A = 300 °
In an isosceles trapezoid, the angles at the base are equal, and the sum of the angles at the lateral side is 180.
a)
If the angle A = 75, then the angle D = 75, then the angle B = C = (180 – 75) = 105.
Answer: The angles of the trapezoid are 75 and 105.
b)
If angle B = 3 * A, then B + A = 180, 3 * A + A = 100.
4 * A = 180.
Angle A = D = 180/4 = 45, then angle B = C = 180 – 45 = 135.
Answer: The angles of the trapezoid are 45 and 135.
v)
If the angle B – A = 60, B = 60 + A.
A + B = 180, A + 60 + A = 180.
2 * A = 120.
Angle A = D = 120/2 = 60.
Angle B = C = 180 – 60 = 120.
Answer: The angles of the trapezoid are 60 and 120.
G)
If the angle A + B + C = 300, then the angle D = A = 360 – 300 = 60.
Angle B = C = 180 – 60 = 120.
Answer: The angles of the trapezoid are 60 and 120.
e)
If the angle A + B + D = 2500, then the angle C = B = 360 – 250 = 110.
Angle A = D = 180 – 110 = 70.
Answer: The angles of the trapezoid are 70 and 110.
e)
If angle B + 3 * A = 300 °, angle B = 180 – A.
180 – A + 3 * A = 300.
2 * A = 120.
Angle A = D = 60.
Angle B = C = 180 – 60 = 120.
Answer: The angles of the trapezoid are 60 and 120.
