Respuesta :

gmoneyy
You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.

Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.

Answer:

[tex]y=20^o[/tex]

Step-by-step explanation:

We can see from our given triangle that it has two equal sides. This means that the angles corresponding to these sides will be of equal measure.

[tex]m\angle C=m\angle B[/tex]  

Upon substituting our given values we will get,

[tex]m\angle C=25^o[/tex]

Since the measure of all the angles of a triangle is 180 degrees.

[tex]m\angle A+m\angle B+m\angle C=180^o[/tex]

Now let us substitute the measures of our given angles.

[tex]3y+70+25+25=180[/tex]

[tex]3y+120=180[/tex]

[tex]3y+120-120=180-120[/tex]

[tex]3y=60[/tex]

Let us divide both sides of our equation by 3.

[tex]\frac{3y}{3}=\frac{60}{3}[/tex]

[tex]y=20[/tex]

Therefore, the value of y is 20 degrees.

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