Question

If 2 angels are consecutive interior angles of the parallel lines and the measure of one is (4x - 2) and the other is (5x - 7). Find the measure of the first angle

Answer 1

Because 2 angles are consecutive interior angles of the parallel lines, so (4x - 2) + (5x - 7) =180\(^o\)

\(\Rightarrow9x-9=180^o\)

\(\Rightarrow9x=189^o\)

\(\Rightarrow x=21^o\)

Therefore, the measure of the first angle is \(4\cdot21-2=82^o\)