Question

СРОЧНО!!! 4. Нарисуйте тупой угол NOL, проведите ОМ его биссектрису и луч ОК – продолжение луча OL. - Найдите угол KON, если угол NOM равен 60° 5. Угол COD равен 135°. Лучами OE и OF, угол разделён на 3 равных угла. Сколько прямых углов получилось?

Answer 1

Объяснение:

Ответ на рисунке

угол NOK= 120°

2 прямых угла

Answer 2

Ответ:

Номер 4

Если ОМ биссектриса угла NOL,то

<NOL=<NOM•2=60•2=120*
Когда мы продолжим луч ОL,то получатся Смежные углы

Сумма смежных углов равна 180*
<КОN=180*-120=60*
К этому заданию рисунок не первый,а третий(нарисован фломастером)
Номер 5

Если мы поделим угол СOD на три равных угла,то каждый из них будет равен по 45*
<СОЕ=<ЕОF=FOD=<COD:3=135:3=45*
Из каждых двух углов можно сложить прямой угол

<СОЕ+<ЕОF=45•2=90*
<EOF+<FOD=45•2=90*

Объяснение:

Answer 3

Drawing the Angle NOL and Bisecting it with OM

To draw the angle NOL, we start by drawing a line segment OL. Then, we use a protractor to measure and mark an angle of any size at point O. Let's assume we measure and mark an angle of 90° at point O.

Next, we draw a line segment OM that bisects the angle NOL. To bisect an angle, we use a compass to draw arcs from points N and L that intersect at a point M. Then, we draw a line segment OM that connects point O to point M. This line segment will bisect the angle NOL.

Finding the Angle KON

To find the angle KON, we need to know the measure of angle NOM. According to the given information, angle NOM is equal to 60°.

Since the angle NOM is 60° and the angle NOL is bisected by the line segment OM, we can conclude that the angle KOM is also 60°. This is because the bisector of an angle divides it into two congruent angles.

Now, let's consider the triangle KOM. The sum of the angles in a triangle is always 180°. Since we know that angle KOM is 60°, we can subtract it from 180° to find the sum of angles KON and ONM.

180° - 60° = 120°

Therefore, the sum of angles KON and ONM is 120°. Since angle ONM is congruent to angle NOM (both are 60°), we can divide the sum by 2 to find the measure of angle KON.

120° / 2 = 60°

Hence, the measure of angle KON is 60°.

Counting the Number of Right Angles

According to the given information, angle COD is equal to 135°. We are also told that the angle formed by rays OE and OF is divided into 3 equal angles.

To find the number of right angles formed, we need to determine the measure of each of the three equal angles formed by rays OE and OF.

Since the angle formed by rays OE and OF is divided into 3 equal angles, we can divide 180° (the sum of the angles in a triangle) by 3 to find the measure of each angle.

180° / 3 = 60°

Therefore, each of the three equal angles formed by rays OE and OF measures 60°.

To determine the number of right angles formed, we need to find the number of times 90° (the measure of a right angle) fits into the sum of the three equal angles.

Sum of three equal angles = 3 * 60° = 180°

Number of right angles = 180° / 90° = 2

Hence, the number of right angles formed is 2.