Question

АК-биссектриса прямоугольного треугольника.∠ С=90°...∠В =50..°..НАЙТИ ∠ КАС

Answer 1

Сумма острых углов треугольника = 90°, следовательно <KAC (<A)
Будет = (90 - 50) : 2 (Т.к у тебя ещё есть биссектриса и она делит угол на два)
= 20°

Answer 2

Finding the Angle KAC in a Right-Angled Triangle

To find the angle KAC in a right-angled triangle where ∠C = 90° and ∠B = 50°, we can use the properties of a right-angled triangle and the angles within it.

Given: - ∠C = 90° - ∠B = 50°

We need to find: - ∠KAC

Solution

In a right-angled triangle, the sum of all angles is 180°. We can use this property to find the measure of ∠KAC.

First, we find the measure of ∠A using the fact that the sum of all angles in a triangle is 180°: ∠A = 180° - (90° + 50°)

Using the above formula, we can calculate the value of ∠A.

Next, to find ∠KAC, we use the fact that the angles ∠KAC and ∠A are supplementary angles, meaning their sum is 180°: ∠KAC = 180° - ∠A

Let's calculate the values.

Calculation

∠A = 180° - (90° + 50°) ∠A = 180° - 140° ∠A = 40°

∠KAC = 180° - 40° ∠KAC = 140°

Conclusion

Therefore, the measure of ∠KAC in the given right-angled triangle is 140°.