dortega22
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Solve for x. Show all your work

Solve For X Show All Your Work class=

Sagot :

Hrishii

42°

Step-by-step explanation:

[tex]\angle BAE =180\degree -132\degree[/tex]

(Angles in linear pair)

[tex]\angle BAE =48\degree[/tex]

[tex]\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})[/tex]

[tex]\angle ABE = 180\degree-(48\degree+90\degree)[/tex]

(Angle sum postulate of a triangle)

[tex]\implies\angle ABE = 180\degree-138\degree[/tex]

[tex]\implies\angle ABE = 42\degree[/tex]

[tex]\angle CDE =\angle ABE = 42\degree[/tex]

(corresponding angles)

[tex]\implies x\degree=\angle CDE[/tex]

(vertical angles)

[tex]\implies x\degree=42\degree[/tex]

[tex]\implies x=42[/tex]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.