Question

Развернутый угол BOE разделён лучом ОТ на два угла ВОТ и ТОЕ. найдите градусные меры этих углов,если угол ВОТ втрое меньше угла ТОЕ. СРОЧНО ПОМОГИТЕ

Answer 1

Пусть ∠ВОТ = х°, тогда ∠ТОЕ = 3х°
Сумма этих углов равна (х+3х)°
Так как ∠ВОЕ - развернутый, ∠ВОЕ = 180°
Можем составить и решить уравнение:
х + 3х = 180
4х = 180
х = 45
∠ВОТ = 45°
∠ТОЕ = 45°·3 = 135°
Ответ: ∠ВОТ = 45°; ∠ТОЕ = 135°

Answer 2

Problem Analysis

We are given that the angle BOE is divided by the ray OT into two angles, VOT and TOE. We need to find the measures of these angles, given that the angle VOT is three times smaller than the angle TOE.

Solution

Let's assume the measure of angle TOE is x degrees. According to the given information, the measure of angle VOT is one-third of the measure of angle TOE.

Therefore, the measure of angle VOT is (1/3) * x degrees.

Since the sum of the measures of angles VOT and TOE is equal to the measure of angle BOE, we can write the following equation:

(1/3) * x + x = measure of angle BOE

Simplifying the equation, we get:

(4/3) * x = measure of angle BOE

To find the measure of angle BOE, we need to know the value of x or the measure of angle TOE.

Unfortunately, the search results provided by You.com do not contain the necessary information to determine the measure of angle TOE or the measure of angle BOE.

To solve this problem, we need additional information or a different approach.

Please let me know if there is anything else I can help you with.