Answer and Step-by-step explanation:
When two angles are supplementary, the add up to 180 degrees.
Measure of angle A is 5 times the sum of the measure of angle B + 7.2.
So, we have b, and we have a.
a + b = 180
a = 5(b + 7.2)
b = ?
We input 5(b + 7.2) for a into the equation.
5(b + 7.2) + b = 180
Now we distribute the 5 and combine like terms.
5b + 36 + b = 180
6b + 36 = 180
Subtract 36 from both sides, then divide both sides by 6 to get b.
6b = 144
b = 24
The measure of angle B is 24 degrees.
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