Answered

IDNLearn.com is your go-to resource for finding expert answers and community support. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.

An angle measures 47.4° less than the measure of its supplementary angle. What is the measure of each angle?​

Sagot :

625045idn

Answer:

Step-by-step explanation: Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.6 degrees less than the measure of a supplementary angle, then x = y - 79.6

Putting this into our x + y = 180 equation, we get

(y - 79.6) + y = 180

2y - 79.6 = 180

2y = 180 + 79.6

2y = 259.6

y = 259.6/2 = 129.8 degrees.

so x = 129.8 - 79.6 = 50.2 degrees.

See if it worked. x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180 so we found the correct two angles!

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.