Answer:
32
Step-by-step explanation:
In order to find the measure of angle A we must first find x
If you didn't know, supplementary angles add up to equal 180
Hence, 2x - 16 + 5x + 28 = 180
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation that we created
2x - 16 + 5x + 28 = 180
Combine like terms
7x + 12 = 180
Subtract 12 from both sides
7x = 168
Divide both sides by 7
We're left with x = 24
Now to find Angle a
To find Angle A we simply substitute 24 for x in 2x - 16
* Substitute 24 for x *
2(24) - 16
Multiply
48 - 16
subtract
/_ A = 32
