Question

In the figure below, x = ${30}^{\circ }$. Find the value of (6y – 3x)
(3 Marks)

Answer 1

Given, x = ${30}^{\circ }$,
So, 2x = ${60}^{\circ }$
(1 Mark)

Also, 2x + 3y = ${180}^{\circ }$ (linear pair)

Replacing 2x in the above equation,
${60}^{\circ }$ + 3y = ${180}^{\circ }$

3y = ${120}^{\circ }$

y = ${40}^{\circ }$
(1 Mark)

The value of 6y - 3x = 240 - 90= ${150}^{\circ }$
(1 Mark)