(4x + 5)
1 answer:
Answer:
<A = 133degrees
Step-by-step explanation:
Find the diagram attached
Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;
m<A + m<C = 180
4x+5 + x + 15 = 180
4x+x+5+15 = 180
5x+20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32degrees
Get the measure of angle A
<A = 4x+5
<A = 4(32)+5
<A = 128+5
<A = 133degrees
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Step-by-step explanation:
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Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.
x is equal to 18 and choice A is correct.