Question

A. x=10
B. x=11
C. x=30
D. x=50

Answer 1

`\boxed{\sf A. \ x = 10 \degree}`

Given:

∠AOC = 90°

∠AOB = 3x° + 46°

∠BOC = 14°

To Find:

Value of x

Explanation:

∠AOC = ∠AOB + ∠BOC

90° = 3x° + 46° + 14°

90° = 3x° + 60°

3x° + 60° = 90°

3x° = 90° - 60°

3x° = 30°

x =
`\sf (30)/(3)`°

x = 10°