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2) If 25 and 26 are supplementary angles, and m25 = 124°; find m26.

Sagot :

Two angles are said to be supplementary if the sum of their measures is 180 degrees.

Given that angles 25 and 26 are supplementary,

[tex]\angle25+\angle26=180[/tex]

Also it is given that the angle 25 measures 124 degrees.

Substitute the value,

[tex]\begin{gathered} 124+\angle26=180 \\ \angle26=180-124 \\ \angle26=56 \end{gathered}[/tex]

Thus, the angle 26 measures 56 degrees.