Question

if <1 and <2 are a linear pair then find the value of x’ if m<1 = 1/3(27x-6) and m<2 = 1/2(6x-20).

Answer 1

16

Explanation:

Remark

Linear Pair means two angles add to 180. They have a base and a transversal in common.

Equation

1/3(27x - 6) + 1/2(6x - 20) = 180 Remove the brackets

Solution

9x - 2 + 3x - 10 = 180 Collect like terms

12x - 12 = 180 Add 12

12x - 12 + 12 = 180 + 12 Combine

12x = 192 Divide by 12

12x/12/ = 192/12

x = 16