Final answer:
The question involves the concept of complementary angles, where it is stated that the angle is 70 degrees less than three times its complement. Solving the equation, it is found that the measure of the angle is 50 degrees.
Step-by-step explanation:
In mathematics, when we refer to complementary angles, we're talking about two angles that add up to 90 degrees. If we call the unknown angle 'x', this means that its
complementary angle
is 90 - x. The problem tells us that x, the angle we are trying to find, is 70 degrees less than three times the complement of the angle. In equation form: x = 3 (90 - x) -70. Start by distributing the 3 across the (90 - x) to yield 270 - 3x, then solving for x. This gives us: x = 270 - 3x - 70. Combining like terms we then get: 4x = 200, and finally, dividing both sides by 4, x = 50 degrees. So, the angle is
50 degrees
.
Learn more about Complementary Angles