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Вопрос от Анонимного юзера 13 декабря 2023 11:24

Ac-биссектрисса угла BAD,угл BCD=50° угл BCA-?

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13 декабря 2023 11:24

We know that the angle bisector of angle BAD divides it into two equal angles.

Let's denote the measure of angle BCA as "x".

Since the bisector of angle BAD divides it into two equal angles, we can say that angle CAD (which is equal to angle BAD) is also x.

Therefore, we have:

angle BAD = angle CAD = x

Now, we know that the sum of angles in a triangle is 180 degrees. So, we can write an equation:

angle BCA + angle CAD + angle BAD = 180 degrees

Substituting the known values:

x + x + 50 degrees = 180 degrees

2x + 50 degrees = 180 degrees

Subtracting 50 degrees from both sides:

2x = 180 degrees - 50 degrees

2x = 130 degrees

Dividing both sides by 2:

x = 130 degrees / 2

x = 65 degrees

Therefore, the measure of angle BCA is 65 degrees.

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Ac-биссектрисса угла BAD,угл BCD=50° угл BCA-?
We know that the angle bisector of angle BAD divides it into two equal angles. Let's denote the measure of angle BCA as "x". Since the bisector of angle BAD divides it into two equal angles, we can say that angle CAD (which is equal to angle BAD) is also x. Therefore, we have: angle BAD = angle CAD = x Now, we know that the sum of angles in a triangle is 180 degrees. So, we can write an equation: angle BCA + angle CAD + angle BAD = 180 degrees Substituting the known values: x + x + 50 degrees = 180 degrees 2x + 50 degrees = 180 degrees Subtracting 50 degrees from both sides: 2x = 180 degrees - 50 degrees 2x = 130 degrees Dividing both sides by 2: x = 130 degrees / 2 x = 65 degrees Therefore, the measure of angle BCA is 65 degrees.