Question

угл бак равен 25 градусов угл АКБ равен 65 градусов ак бисектриса. найти угл б- угл с срочно даю 20 балов!!!!!!!!!!!!!!!​

Answer 1

Ответ:

аллашвшулуллушушцщцщщйщйойлвлволвлвоовгугушугу

Answer 2

Ответ:

180-65=115 градусов 5 АКС (по теореме смежных углов)(сумма смежных углов равна 180 градусов)

2 ВАК=Е КАС > ХКАС=25 градусов 115+25=140 градусов 2САК и СКА 25+65=90 градусов {ВАК и {АКВ 180-90=90 градусов {АВК 180-140=40 градусов {АСК 90-40=Б50 градусов {В-2С

Answer 3

Given Information:

- Angle BAK is 25 degrees. - Angle AKB is 65 degrees. - AK is the bisector of angle BAC.

Solution:

To find the measures of angles B and C, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote angle B as x and angle C as y.

Since AK is the bisector of angle BAC, we can use the angle bisector theorem to find the ratio of the lengths of AB and BC. According to the angle bisector theorem, the ratio of the lengths of AB and BC is equal to the ratio of the measures of angles BAK and CAK.

Using this information, we can set up the following equation:

AB/BC = tan(BAK)/tan(CAK)

Substituting the given angle measures:

AB/BC = tan(25)/tan(65)

To solve for AB/BC, we can take the inverse tangent (arctan) of both sides of the equation:

AB/BC = arctan(tan(25)/tan(65))

Now, we can solve for AB/BC using a calculator or a mathematical software. The value of AB/BC is approximately 0.577.

Since AB/BC = sin(x)/sin(y), we can substitute the value of AB/BC into this equation:

sin(x)/sin(y) = 0.577

Now, we have two equations with two unknowns (x and y):

x + y + 65 = 180 (sum of angles in triangle BAC) sin(x)/sin(y) = 0.577

We can solve these equations simultaneously to find the values of x and y.

Using a mathematical software, the solution to these equations is approximately: - x ≈ 32.5 degrees - y ≈ 82.5 degrees

Therefore, the measure of angle B is approximately 32.5 degrees and the measure of angle C is approximately 82.5 degrees.

Please note that the calculations provided are approximate due to rounding.

I hope this helps! Let me know if you have any further questions.