Math
angle 1 is complementary to angle 2. angle 2 is supplementary to angle 3 equal to 126 degrees. find measure angle one
mk ms sue no one cares
angle3 = 126°
then angle2 = 54°, since angle2 + angle3 = 180°
then angle1 = 126°, since angle2 + angle1 =180°
angle 1 + angle 2 = 90°
But I'm sure Maddie caught that...
Thanks Steve.
I just have to read those questions more carefully
To find the measure of angle one, we need to understand the relationship between complementary and supplementary angles.
Complementary angles are two angles whose measures add up to 90 degrees. So, angle 1 + angle 2 = 90 degrees (since they are complementary).
Supplementary angles are two angles whose measures add up to 180 degrees. We are given that angle 2 + angle 3 = 126 degrees (since they are supplementary). Additionally, we know that angle 3 = 126 degrees.
Now, we can substitute the value of angle 3 into the equation and solve for angle 2:
angle 2 + 126 degrees = 180 degrees
Simplifying the equation, we get:
angle 2 = 180 degrees - 126 degrees
angle 2 = 54 degrees
Since angle 1 is complementary to angle 2, we can now find its measure by subtracting angle 2 from 90 degrees:
angle 1 = 90 degrees - 54 degrees
angle 1 = 36 degrees
Therefore, the measure of angle one is 36 degrees.