Question

If m<1=6x+50 and m<2=4x+40 find x

Answer 1

$\text{Adjacent angles on a straight line sum up to 180} \textdegree$

$\text{Therefore }\measuredangle 1 + \measuredangle 2 = 180 \textdegree$

$\text {Since } \measuredangle 1 = 6x+50 \text { and } \measuredangle 2 = x+40$

$(6x+50) + (4x+40) = 180$

$6x+50 + 4x+40 = 180$

$10x+90 = 180$

$10x = 180 - 90$

$10x = 90$

$x = 9$

Answer: x = 9