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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=

Sagot :

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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