Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half =
2 and one third =
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
Therefore, the required number is .
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
