The measure of two supplementary angles are A=(4a+7)° and B=(a-2)° find the measure of the two angles
2 answers:
Answer:
147˚, 33˚
Step-by-step explanation:
supplementary angles means those angles add up to 180˚
so A+B = 180
substitute A and B with the values given.
(4a+7) + (a-2) = 180
combine like terms
5a + 5 = 180
5a = 175
a = 35
Now that we have a, substitute in the actual value of a into the expressions for each angle.
for <A: 4(35) + 7 = 147˚
for <B: 35 - 2 = 33˚
Answer:
<A =147
<B = 33
Step-by-step explanation:
Supplementary angles add to 180
4a+7 + a-2 = 180
5a+5 = 180
5a+5-5 = 180-5
5a = 175
Divide by 5
5a/5 = 175/5
a = 35
<A = 4a+7 = 4*35 +7 = 140+7=147
<B = a-2 = 35-2 = 33
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