Respuesta :

Answer:

A = 35
B = 100
C = 25

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35

Answer (1):

A=45 B=110

Step-by-step explanation (1):

So the inner degrees has to equal 180.  So you would do this:

[tex](x+65)+x+25=180\\2x+90=180\\2x=90\\x=45[/tex]

Now substitute 45 for x and check.

[tex]45+65=110\\110+45+25= < ABC\\180= < ABC[/tex]

Answer (2):

126 degrees.

Step-by-step (2):

Like I said before, the inner degrees has to equal 180.  We would write another equation.  By the way, the red square is for 90 degrees.

[tex](5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12[/tex]

Now substitute 12 for x.

Also to find the anterior angle, we would add the 90 and the 3x[tex]3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180[/tex]