Two angles are supplementary, and one is 5° more than six times the other. What is the larger angle?

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Answer 1 · 2018-03-02T15:58:58

Larger angle #hatA = 155^@#

For two angles to be supplementary, sum of these two angles equals #180^@#.

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Let the two angles be #hatA, hatB#

Given #hat A + hatB = 180^@#

Also #hat A = ((6 * hatB )+ 5)^@#

#i.e. ((6 * hatB )+ 5) + hatB = 180#

#7*hatB = 180 - 5 = 175#

#hatB = 175 / 7 = 25^@#

Hence larger angle #hatA = 180 - 25 = 155^@#