find the measure of two complementary angles if one is 20 degrees more than 4 times the other angle.
A = X Degrees.
B = (4x+20) Degrees.
x + (4x+20) = 90o.
X = ?
@Henry O-O my poor little math head, this is dang cofusing
confusing*
To find the measure of two complementary angles, we can set up an equation based on the given information.
Let's assume one angle is represented by 'x' degrees. Then, the other angle would be represented by '4x + 20' degrees.
According to the definition of complementary angles, the sum of two complementary angles is 90 degrees.
Therefore, we can write the equation as:
x + (4x + 20) = 90
Now, we can solve this equation to find the value of 'x'.
Combine like terms:
5x + 20 = 90
Subtract 20 from both sides of the equation:
5x = 70
Divide both sides by 5:
x = 14
So, one angle is 14 degrees.
To find the other angle, substitute the value of x back into our expression:
4x + 20 = 4(14) + 20 = 56 + 20 = 76
Therefore, the other angle is 76 degrees.
Hence, the measure of the two complementary angles is 14 degrees and 76 degrees.