Find the measure of the angle and it's complement

Question

The measure of an angle is 30 more than it's complement.

Answer 1

Good Morning, Hevin,

As a tutor, I feel obligated to define what a complementary angle is. A complementary angle is either of two angles that when added together are 90 degrees. 

According to the information provided in the problem: 

x + x + 30 = 90    

Why? We simply assigned x for the first angle. Then we assigned (x + 30) to the angle which is "30 more than its complement." 


Now solve the equation: 

2x + 30 = 90 

2x = 60 

x = 30 degrees <---Measure of the one angle. 

x + 30 = 60  <----Measure of first angle's complementary angle. 

Let's check our work: 

Do the two angles when added together equal 90 degrees? Yes. 

Second, is the second angle 30 degrees more than its complement? Yes. 

I hope this assists you and wish you a great day today. If you wish to provide feedback, please do in the comment section below this response, or, if you need further assistance, feel free to contact any tutor.