Question

Find the value of x

Answer 1

B) 10

Explanation:

It is given that the (m<AOC) is (90) degrees. It is also given that (<AOB) and (<BOC) compose (<AOC). Therefore, the following statement can be made;

(m<AOB) + (m<BOC) = (m<AOC)

Substitute,

(3x + 46) + (14) = (90)

Simplify,

3x + 60 = 90

Inverse operations,

3x + 60 = 90

-60 -60

3x = 30

/3 /3

x = 10

Answer 2

Explanation:

Given Angle AOC = 90,

Angle AOB + Angle BOC = 90

`3x + 46 + 14 = 90 \\ 3x + 60 = 90 \\ 3x = 90 - 60 \\ 3x = 30 \\ x = 30 / 3 \\ = 10`