A right angle is formed by two adjacent angles of (x)° and (x+30)°. What are the two unknown angles?(1 point)
The two unknown angles are 90° - x° and 90° - (x+30)°.
Explanation:
When two angles add up to form a right angle, they are called complementary angles. We know that the sum of two complementary angles is 90 degrees.
So, we can write an equation based on the given information:
x + (x+30) = 90
Simplifying this equation, we get:
2x + 30 = 90
2x = 60
x = 30
Therefore, one angle is x° = 30°, and the other angle is (x+30)° = 60°.
To find the complementary angles, we subtract each angle from 90°:
90 - x = 90 - 30 = 60
90 - (x+30) = 90 - 60 = 30
So, the two unknown angles are 60° and 30°.