Question

Один из углов равнобедренной трапеции равен 68°.Найдите остальные углы трапеции.Помогите пж

Answer 1

Значит у основания угол равен 112градусам, тк трапеция равнобедренная, то соответственно у оснований углы равны

Answer 2

Т.к углы при основании равны, то угол 1 равен углу 2=68°
Другие два угла равны 180°-68°=112° ( как односторонние углы)

Answer 3

Finding the Angles of an Isosceles Trapezoid

To find the remaining angles of the isosceles trapezoid, we can use the fact that the base angles of an isosceles trapezoid are congruent. Given that one of the base angles is 68°, we can proceed with the following steps to find the other angles:

1. Finding the Base Angles: - Since the trapezoid is isosceles, the base angles are congruent. - Let's denote the base angles as A and B, and the non-base angles as C and D.

2. Calculating the Base Angles: - We know that the sum of the angles in a trapezoid is 360°. - Since the trapezoid is isosceles, the sum of the base angles is 180°. - We can use this information to calculate the measure of the base angles.

3. Calculating the Non-Base Angles: - Once we have the measure of the base angles, we can find the non-base angles using the fact that the sum of the angles in a trapezoid is 360°.

Let's calculate the base angles and then find the non-base angles using the information provided.

Calculation

- Given angle: A = 68° - Let's calculate the measure of the base angles using the fact that the sum of the base angles is 180°.

Calculation of Base Angles: - A = B (as the trapezoid is isosceles) - A + B = 180° - 68° + B = 180° - B = 180° - 68° - B = 112°

Therefore, the measure of both base angles (A and B) is 112°.

- Now, let's calculate the measure of the non-base angles using the fact that the sum of all angles in a trapezoid is 360°.

Calculation of Non-Base Angles: - C + D = 360° - C + 68° + D + 112° = 360° - C + D = 360° - 68° - 112° - C + D = 180°

Therefore, the measure of both non-base angles (C and D) is 180°.

Conclusion

The remaining angles of the isosceles trapezoid are as follows: - Base angles A and B: 112° - Non-base angles C and D: 180°

This completes the calculation for finding the remaining angles of the isosceles trapezoid. If you have any further questions or need additional assistance, feel free to ask!