Question

help with angles and relationships:for two complementary angles, find an expression (in degrees) for the measure of the second angle if the measure of the first is x degrees

Answer 1

Step-by-step explanation:

Given;

We are told that two angles are complementary and one of the angles measure x degrees.

Required;

We are required to find an expression for the measure of the second angle.

Step-by-step solution;

For two angles that are described as complementary, they both add up to 90 degrees.

If one of the angles measures x degrees, we simply subtract that measure from the total of 90 and that gives us the angle measure of the second angle.

Therefore, the expression that would represent the second angle is;

`\begin{gathered} Let\text{ }the\text{ }other\text{ }angle\text{ }be\text{ }y: \\ x+y=90 \\ Therefore: \\ y=90-x \end{gathered}`

Hence, the other angle would be represented by the expression;

ANSWER:

`(90-x)\degree`