Answered

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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

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