If angle 1 and angle 2 form a linear pair. if m< 1=5x+9 and m< 2=3x+11, find the measure of both angles

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles and are supplementary, which means that they add up to 180 degrees.

So, knowing that:

We can write the following expression and solve for "x":

Therefore, substituting, we get that the measures of the angles and are:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11