Question

2.Луч AM является биссектрисой угла CAE. Найди величину угла CAE, если FMAC = 70°.

Answer 1

Т. к. АМ - биссектрисса, то < МАС=2*<САЕ=70*2=135

Answer 2

Given Information:

- Луч AM является биссектрисой угла CAE. - Угол FMAC равен 70°.

To Find:

- Найти величину угла CAE.

Solution:

Since Луч AM является биссектрисой угла CAE, it means that Луч AM divides the angle CAE into two equal parts.

Let's denote the measure of the angle CAE as x.

Therefore, we can say that the measure of the angle CAM is x/2 and the measure of the angle MAE is also x/2.

Now, we are given that the measure of the angle FMAC is 70°.

Since Луч AM is the bisector of the angle CAE, the measure of the angle CAM plus the measure of the angle MAE should be equal to the measure of the angle FMAC.

So, we can write the equation as:

x/2 + x/2 = 70°

Simplifying the equation, we get:

x + x = 140°

2x = 140°

Dividing both sides of the equation by 2, we get:

x = 70°

Therefore, the measure of the angle CAE is 70°.