Question

Two Adjacent angles add up to 150°.one is five times the other find the angle

Answer 1

Answer:

∴ The required measures of angles are $25^{0}$ and $125^{0}$.  

Step-by-step explanation:

• In context with question asked,
• We have to find measures of angles.
• It is given that, sum of two angles = $150^{0}$
• One is five times the other.
• Let, $x$ be the measure of one angle.
• Other angle = $5x$
• According to given data, the equation becomes,

          $x+5x=150$

             ∴ $6x=150$

• Transpose $6$ to other side, we get

               ∴ $x=\frac{150}{6}$

               ∴ $x=25$

• Now, other angle = $5x=5\times 25=125$

• ∴ The required measures of angles are $25^{0}$ and $125^{0}$.              

   

Answer 2

Given - Relation between angles and sum of angles

Find - Angles

Solution - The angles are 25° and 125°.

Let one angle be x. Thus, the other angle will be 5x.

Now, as per the information in question, the mathematical equation that will form is -

x + 5x = 150

Performing addition to find the value of x -

6x = 150

Performing division to find the value of x -

x = 150/6

x = 25°

So, one angle is 25°

Other angle = 5x

Other angle = 5*25

Other angle = 125°

Hence, the angles are 25° and 125°.