Question

If the obtuse angle has a measure of x² + 30 and the

acute angle has a measure of 5x what is the measure of
angle BCA?

Answer 1

Answer: 150 - x^2 - 5x degrees.

Explanation:

x^2 + 30 (for the obtuse angle) + 5x (for the acute angle) + angle BCA = 180

To find the measure of angle BCA, we'll rearrange the equation:

angle BCA = 180 - (x^2 + 30 + 5x)

angle BCA = 180 - x^2 - 5x - 30

angle BCA = 150 - x^2 - 5x

So, the measure of angle BCA is 150 - x^2 - 5x degrees.