Question

В окружность вписана трапеция АВСД Угол АВД равен 25 рад. Угол САД - 41град. Чему равен угол АВС

Answer 1

Если в окружность вписана трапеция то она (трапеция) равнобока, углы при основании равны, сумма углов равна 360 градусов

Answer 2

Solution:

To find the measure of angle ABC in the given trapezoid ABCD, we can use the fact that the sum of the interior angles of a trapezoid is equal to 360 degrees.

Given: - Angle AVD = 25 degrees - Angle SAD = 41 degrees

We can calculate the measure of angle ABC using the following steps:

1. Calculate the measure of angle AVC: - Angle AVC = 180° - Angle AVD = 180° - 25° = 155°

2. Calculate the measure of angle ASD: - Angle ASD = 180° - Angle SAD = 180° - 41° = 139°

3. Calculate the measure of angle AVS: - Angle AVS = Angle AVC - Angle ASD = 155° - 139° = 16°

4. Calculate the measure of angle ABC: - Angle ABC = 180° - Angle AVS = 180° - 16° = 164°

The measure of angle ABC is 164 degrees.