Dortega22idn
Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

Solve for x. Show all your work

Solve For X Show All Your Work class=

Sagot :

Hrishiiidn

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 appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.