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nata0808 [166]
4 years ago
14

Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?

Mathematics
1 answer:
nasty-shy [4]4 years ago
8 0

Answer:

11 degrees.

Step-by-step explanation:

<em>"Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?"</em>

We know that a linear pair MUST add up to 180 degrees, therefore (9x+6)+(6x+9)= 180

Now for some algebra-

(9x+6)+(6x+9)= 180

6 and nine can both be divided by 3, so we will do that for simplicity:

((9x+6)+(6x+9)= 180)/3=

(3x+2)+(2x+3)=60

We will now separate the parenthesis, as they serve no purpose anymore.

(3x+2)+(2x+3)=60

3x+2+2x+3=60

Combine terms

5x+5=60

Take away the 5 to isolate the variables

5x+5=60

-5

5x=55

Divide by 5

5x=55

/5

x=11

The value of x is 11 degrees.

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