Answered

Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Our platform provides accurate, detailed responses to help you navigate any topic with ease.

Choose either Yes or No to tell whether there is an angle of the given measure shown in the diagram.

Choose Either Yes Or No To Tell Whether There Is An Angle Of The Given Measure Shown In The Diagram class=

Sagot :

The addition of all angles in the diagram is equal to 360 degrees. Let's call angle x to the unknown angle. Then, we have:

[tex]\begin{gathered} m\angle x+160\degree+40\degree+65\degree+25\degree=360\degree \\ m\angle x=360\degree-160\degree-40\degree-65\degree-25\degree \\ m\angle x=70\degree \end{gathered}[/tex]

Therefore, there is an angle that measures 70°.

Combining the angles of 160°, 40°, and 65°, we get a new angle, let's call it y, that measures:

[tex]\begin{gathered} m\angle y=160\degree+40\degree+65\degree \\ m\angle y=265\degree \end{gathered}[/tex]

Therefore, there is an angle that measures 265°.

Combining the angles of 160°, 70°, 25°, and 65°, we get a new angle, let's call it z, that measures:

[tex]\begin{gathered} m\angle z=160\degree+70\degree+25\degree+65\degree \\ m\angle z=320\degree \end{gathered}[/tex]

Therefore, there is an angle that measures 320°.

Combining the angles of 25°, and 65°, we get a new angle, let's call it a, that measures:

[tex]\begin{gathered} m\angle a=25\degree+65\degree \\ m\angle a=90\degree \end{gathered}[/tex]

Therefore, there is an angle that measures 90°.

On the other hand, there is no combination of angles that add up to 225°

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.