Question

При пересечении двух прямых один из углов равен 64° найдите образовавшийся тупые углы

Answer 1

При пересечении двух прямых образуются две пары вертикальных углов.
Вертикальные углы равны между собой.
Один угол 64°, значит и второй вертикальный угол 64°
64°+64°=128°
360°-128°=232°
232°:2=116°

Answer 2

Если один угол=64,значит второй тоже -64(т.к вертикальные)
Следовательно,тупой угол= (360-128) : 2= 116 градусов

Answer 3

Finding the Obtuse Angles when Two Lines Intersect at an Angle of 64°

To find the obtuse angles formed when two lines intersect at an angle of 64°, we can use the property that when two lines intersect, the opposite angles are equal. Therefore, the obtuse angles formed will be the supplementary angles to the given 64° angle.

Supplementary angles are two angles whose measures add up to 180°.

So, to find the obtuse angles, we can subtract 64° from 180° to find the measure of each obtuse angle.

Calculation

The calculation for finding the obtuse angles is as follows: - First obtuse angle = 180° - 64° - Second obtuse angle = 180° - 64°

Result

The obtuse angles formed when two lines intersect at an angle of 64° are: - First obtuse angle = 116° - Second obtuse angle = 116°

This means that both obtuse angles formed are equal and have a measure of 116°.