YarelisK757608 YarelisK757608
  • 03-11-2022
  • Mathematics
contestada

if p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<13 = ?

if p mlt7 131 and mlt16 88 find the measure of the missing angle mlt13 class=

Respuesta :

RemedyC453620 RemedyC453620
  • 03-11-2022

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!

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