Question

a. Draw a pie chart to illustrate the datab. If the employee's gross monthly salary was N10,800, calculate the pension contribution to the employeec. Calculate the income tax paid by the employee2.State all the conditions of a congruent triangle3.AABC is right-angled at A and /AB/= 2/AC/. Prove that /BC/² = 5 /AC/²4. Indicate that they are congruentC Y5.6.B140ZWith the aid of a diagram each, differentiate between the properties of a parallelogram and a rhombuwith at least three properties eachFind cX

Answer 1

(6) We want to find c in the diagram below

The triangle is a isosceles triangle since two sides are equal. So their base angles are equal. I have labelled their base angles as x

one of the x's makes a straight angle with 140. Angles on a straight-line is 180 degree so

`\begin{gathered} x+140\degree=180\degree \\ x=180-140 \\ x=40\degree \end{gathered}`

sum of angles in a triangle makes 180 degree, so

`\begin{gathered} x+x+c=180\degree \\ 40+40+c=180 \\ 80+c=180 \\ c=180-80 \\ c=100\degree \end{gathered}`

Hence the answer is 100 degrees