Number of degrees in four and two-third right angles is

Options

A. `310^(@)`
B. `420^(@)`
C. `330^(@)`
D. `400^(@)`

Answer

To find the number of degrees in four and two-thirds right angles, we can follow these steps:

### Step 1: Understand the value of a right angle
A right angle is defined as 90 degrees.

### Step 2: Convert four and two-thirds into an improper fraction
Four and two-thirds can be expressed as:
\[ 4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3} \]

### Step 3: Multiply the improper fraction by the degrees in a right angle
Now, we need to multiply the improper fraction by the number of degrees in a right angle:
\[ \frac{14}{3} \times 90 \]

### Step 4: Simplify the multiplication
To simplify:
\[ \frac{14 \times 90}{3} \]
First, divide 90 by 3:
\[ 90 \div 3 = 30 \]
Now multiply:
\[ 14 \times 30 = 420 \]

### Step 5: Conclusion
Thus, the number of degrees in four and two-thirds right angles is:
\[ \boxed{420 \text{ degrees}} \]

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