Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle

Sagot :

AnimeBrainly

Answer:

First angle: 60°

Second angle: 30°

Step-by-step explanation:

Let the two angles be signified by the variables x & y.

Let the first angle = x, and the second angle = y.

It is given that:

"The measure[ments] of the complementary angles...": x + y = 90°

"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°

Use the system of equations. Plug in y + 30 for x in the first equation:

(y + 30) + y = 90

Combine like terms:

(y + y) + 30 = 90

2y + 30 = 90

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:

2y + 30 (-30) = 90 (-30)

2y = 90 - 30

2y = 60

Next, divide 2 from both sides of the equation:

(2y)/2 = (60)/2

y = 60/2

y = 30°

Plug in 30 for y in one of the equations:

x = y + 30

x = (30) + 30

x = 60°

Your answers:

First angle: 60°

Second angle: 30°

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.