Factor 8 (y-3) - 3y (y-3)
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<u>Given</u>:
It is given that LON is a straight line. The measure of ∠LOM = (4x + 30)° and the measure of ∠MON = (8x + 90)°
We need to determine the value of m∠MON
<u>Value of x:</u>
Since, LON is a straight line and the angles LOM and MON are linear pairs of angles.
Since, linear pair of angles add up to 180°
Thus, we have;
Substituting the values, we get;
Thus, the value of x is 5.
<u>Value of m∠MON:</u>
The measure of ∠MON can be determined by substituting x = 5 in the expression (8x + 90)°, we have;
Thus, the measure of ∠MON is 130°