If ABCD congruent to QRST, measure of angle A = x – 10º, and measure of angle Q = 2x – 30º, what is the measure of angle A?
1 answer:
Congruent means they are the same,
A and Q are both the first letters, which mean they would also be the same.
Set the two equations equal to each other, solve for x then solve for angle A.
x-10 = 2x-30
Add 30 to each side:
x+20 = 2x
Subtract 1x from each side:
x = 20
Now replace x with 20 in the equation for A
A = 20-10
Angle A = 10 degrees.
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