Question

Два кути трацецій 40° 160° Знайти всі кути трапецій​

Answer 1

сумма углов трапеции, прилежащих к боковой стороне = 180° → 1)180°-40°=140° и 2)180°-160°=20°.

Answer 2

Finding the Angles of a Trapezoid

To find all the angles of a trapezoid, we need to know the measures of at least two angles. In this case, we know the measures of two angles: 40° and 160°.

Let's denote the angles of the trapezoid as follows: - Angle A: 40° - Angle B: 160° - Angle C: unknown - Angle D: unknown

To find the measures of angles C and D, we can use the fact that the sum of the interior angles of a trapezoid is equal to 360°.

Calculating Angle C

To find the measure of angle C, we subtract the sum of angles A and B from 360°: Angle C = 360° - Angle A - Angle B

Substituting the given values: Angle C = 360° - 40° - 160°

Calculating: Angle C = 360° - 200° Angle C = 160°

Therefore, angle C measures 160°.

Calculating Angle D

To find the measure of angle D, we subtract the sum of angles A, B, and C from 360°: Angle D = 360° - Angle A - Angle B - Angle C

Substituting the given values: Angle D = 360° - 40° - 160° - 160°

Calculating: Angle D = 360° - 360° Angle D = 0°

Therefore, angle D measures 0°.

Summary

The measures of the angles of the trapezoid are as follows: - Angle A: 40° - Angle B: 160° - Angle C: 160° - Angle D: 0°

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