Question

Angles 1 and 2 are complementary angles. What is the value of X?

Answer 1

Should be option B. Let me know if I’m right!

Answer 2

From the given graph we get that since angles 1 and 2 are complementary angles, then the angle that measures (7x+10) degrees and the angle that measures 10 degrees are also complementary angles.

Therefore:

`(7x+10)^(\circ)+10^(\circ)=90^(\circ).`

Then:

`7x+10+10=90.`

Adding like terms we get:

`7x+20=90.`

Subtracting 20 from the above equation we get:

`\begin{gathered} 7x+20-20=90-20, \\ 7x=70. \end{gathered}`

DIviding the above equation by 7 we get:

`\begin{gathered} (7x)/(7)=(70)/(7), \\ x=10. \end{gathered}`

Answer: Option B.