6. 21 and 22 form a linear pair. If mZ1 = (5x + 9)* and m2 = (3x + 11)", find the measure of each angle.
Help please!!!

∠ 1 = 109° , ∠ 2 = 71°

Step-by-step explanation:

The 2 angles form a linear pair and sum to 180°

Sum the 2 angles and equate to 180

5x + 9 + 3x + 11 = 180 , that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Then

∠ 1 = 5x + 9 = 5(20) + 9 = 100 + 9 = 109°

∠ 2 = 3x + 11 = 3(20) + 11 = 60 + 11 = 71°

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: