Question

Кут А трикутника АВС дорівнює 60 градусів, кут С удвічі більший за кут В. Знайдіть кут В і С

Answer 1

Пошаговое объяснение:

Нехай кут В= х°, тоді кут С=2х. Сума кутів трикутника 180°

х+2х+60=180

3х= 120

х= 40° кут В

40*2=80°- кут С

Answer 2

Given Information:

We are given that the angle A of triangle ABC is 60 degrees, and angle C is twice as large as angle B.

Finding the Measures of Angles B and C:

To find the measures of angles B and C, we can set up an equation based on the given information.

Let's assume that angle B is x degrees. Since angle C is twice as large as angle B, angle C would be 2x degrees.

According to the properties of a triangle, the sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:

angle A + angle B + angle C = 180 degrees

Substituting the given values, we have:

60 degrees + x degrees + 2x degrees = 180 degrees

Combining like terms, we get:

60 degrees + 3x degrees = 180 degrees

Subtracting 60 degrees from both sides, we have:

3x degrees = 120 degrees

Dividing both sides by 3, we find:

x degrees = 40 degrees

Therefore, angle B is 40 degrees, and angle C is twice as large, which means angle C is 80 degrees.

Answer:

The measure of angle B in triangle ABC is 40 degrees, and the measure of angle C is 80 degrees.