Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

ДАВС - ADEF. Find the measure of the given angles.mZA= x +22mZD = 2x

ДАВС ADEF Find The Measure Of The Given AnglesmZA X 22mZD 2x class=

Sagot :

The problem stated that triangles ABC and DEF are congruent, which means that angle A on triangle ABC and angle D on triangle DEF are also congruent. Hence, we have

[tex]m\angle D\cong m\angle A[/tex]

Substitute the given algebraic equations describing the measurements of the angles on the equation above, we have

[tex]2x=x+22[/tex]

Solve for x

[tex]\begin{gathered} 2x-x=22 \\ x=22 \end{gathered}[/tex]

Hence, the measurement of angle A is

[tex]\begin{gathered} m\angle A=22+22 \\ m\angle A=44 \end{gathered}[/tex]

Answer: 44 degrees

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.