Question

*If (m + 7 )° and (m + 13 )° are spplement of each other, then what is the measure of the larger angle between them?​

Answer 1

Given :   (m + 7 )° and (m + 13 )° are supplement of each other

To Find :  measure of the larger angle between them

Solution:

Supplementary angles adds up to 180°

  (m + 7 )° and (m + 13 )° are supplement of each other

Hence

(m + 7 )° + (m + 13 )°  =180°

=> (2m + 20)° = 180°

=> ( m + 10)° = 90°

=>   m + 10 = 90

=> m = 80

(m + 7 )°  =  (80 + 7 )° =   87°

(m + 13 )°  =  (80 + 13 )° = 93°

93 > 87

the measure of the larger angle between them is 93°  

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