Question

Two angles are complementary. The measure of ≤ABC is x and the measure of m

Answer 1

Answer:
`x=20`

Explanation:

The complete exercise is: " Two angles are complementary. The measure of ∠ABC is
`x\°` and the measure of ∠DBC is
`(3x + 10)\°`. What is the value of x?"

By definition, Complementary angles are those angles whose sum is 90 degrees.

In this case, knowing that the angle ∠ABC and the angle ∠DBC are Complementary angles, you can write the following equation:

`\angle ABC+\angle DBC=90`

According to the data given in the exercise:

`\angle ABC=x\\\\\angle DBC=3x + 10`

Knowing this, you must substitute into the equation written before:

`x+3x + 10=90`

And finally you must solve for "x" in order to find its value.

This is:

`x+3x + 10=90\\\\4x=90-10\\\\x=(80)/(4)\\\\x=20`