A and B are vertical angles. If A = 4x - 10 and B = 6x - 30, find mA.
2 answers:
<span>vertical angles
m<A = m<B
so
</span>4x - 10 = <span>6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10
m<A = </span><span>4x - 10
</span>m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30<span>
</span>
If A and B are vertical angles, then A = B. Thus, 4x - 10 = 6x - 30, and 10 = x. Check: Does 4(10) - 10 = 6(10) - 30? Does 30 = 30? YES. So x = 10 is correct. The measure of angle A is 30 degrees.
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