Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

In the figure below, m1= (x+24)° and m2=5x°,
Find the angle measures.
12

Sagot :

varshamittal029

Measure of angle 1 is 50° and that of angle 2 is 130°

The sum of all the angles on a straight line is equal to 180°.

Here, we are given two angles ∠1 and ∠2

Also, we are given that

m∠1 = (x+24)°

and m∠2 = 5x°

As we can see from the given figure, ∠1 and ∠2 lie on a straight line

⇒ m∠1 + m∠2 = 180

⇒ (x+24) + 5x = 180

x + 24 + 5x = 180

x + 5x + 24 = 180

6x + 24 = 180

6x = 180 - 24

6x = 156

x = 156/ 6

x = 26

Therefore,

m∠1 = 26 + 24

= 50

and m∠2 = 5(26)

= 130

Thus, the measure of the two angles is 50° and 130°

Learn more about angles here-

https://brainly.in/question/191934

#SPJ9

Your question was incomplete. Check for the missing figure below.

View image varshamittal029
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.