Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

May I please receive help

May I Please Receive Help class=

Sagot :

Answer:

y = 120°

z = 32°

Step-by-step explanation:

For the sake of simplicity, I labeled one of the interior angles as m < 1 (Please see the attached screenshot).  I did this because m < 1 and the exterior angle on the same side of the transversal have the same measure of m < 60°.  

Therefore,  m < 1 = m < 60°

Next, since m < 1 = 60°, then we can add its measure to < y°, which will sum up to 180° (given that they are supplementary angles).  

We can establish the following formula to solve for < y°:

       m < 1 + < y ° = 180°

Let's rearrange the formula to isolate < y°:

       < y ° = 180° - m < 1

Substitute the value of m < 1 into the revised formula:

      < y  = 180°- 60°

      < y = 120°

Now that we have the value for y°, we can find out what the value of z is by creating another formula:

        < (5z - 100)° = 180° -  y°

Substitute the value of y° into the formula:

5z - 100° = 180° - 120°

Combine like terms:

5z - 100° = 60°

Add 100° on both sides:

     5z - 100° + 100° = 60° + 100°

    5z = 160°

Divide both sides by 5:

    [tex]\frac{5z}{5} = \frac{160}{5}[/tex]

    < z = 32°

Double-check whether we derived the correct answers by plugging in the values of y° and z° into the following formula:

y° + (5z - 100)° = 180°      (because they are supplementary angles)

120° + [5(32) - 100]° =  180°

120° + [5(32) - 100]° =  180°

120° + [160 - 100]° =  180°

120° + 60° = 180°

180° = 180°  (True statement).

Therefore, the value of y = 120° and z = 32°.  

Please mark my answers as the Brainliest if you find my explanations helpful  :)  

View image djtwinx017
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.