Question

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

Answer 1

Larger angle `hatA = 155^@`

Explanation:

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

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^@`