Find the smaller angle of an isosceles trapezoid if its 2 angles are equal to 7:53.

Since the trapezoid is isosceles, its opposite angles are equal, and the sum of the angles at the lateral side is 180.

Let one of the angles be equal to X0, and the second angle is Y0.

Then X + Y = 180.

X / Y = 7/53.

Let us solve the system of two equations by the substitution method.

X = 180 – U.

(180 – Y) / Y = 7/53.

7 * Y = 53 * (180 – Y).

7 * Y = 9540 – 53 * Y.

60 * Y = 9540.

Y = 9540/60 = 159.

Then X = 180 – 159 = 21.

Answer: The smaller angle of the trapezoid is 210