if p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<13 = ?
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Answer:
[tex]m\angle13=92^o[/tex]Explanation:
First, we match the angles
9 = 11
10 = 12
16 = 14
15 = 13
Therefore, if we find angle 15, we find an angle 13.
Angle 15 is supplementary to angle 16; therefore,
[tex]\angle16+\angle15=180^o[/tex]Since
[tex]\angle16=88^o[/tex]Therefore,
[tex]88^o+\angle15=180^o[/tex]subtracting 88 from both sides
[tex]\angle15=180^o-88^o[/tex][tex]\angle15=92^o[/tex]which is our answer!