Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

I need help with this please and thank you im just really confused

I Need Help With This Please And Thank You Im Just Really Confused class=

Sagot :

To find the values of x and z, apply the opposite angles theorem.

Opposite angles are angles that can be said to be non-adjacent angles formed by two intersecting lines.

Opposite angles are congruent.

• Measure of angle Z:

∠z and 110 are opposite angles.

Thus, we have:

m∠z = 110°

• Value of x:

Given that total measure of angles = 360

We have:

[tex](5x-20)=\frac{360-110-110}{2}[/tex]

Let's solve for x:

[tex]\begin{gathered} 5x-20=\frac{140}{2} \\ \\ 5x-20=70 \\ \\ \text{Add 20 to both sides:} \\ 5x-20+20=70+20 \\ \\ 5x=90 \end{gathered}[/tex]

Divide both sides by 5:

[tex]\begin{gathered} \frac{5x}{5}=\frac{90}{5} \\ \\ x=18 \end{gathered}[/tex]

ANSWER:

x = 18

z = 110°

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.