In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.
2 answers:
Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
Answer:
<em>67°</em>
Step-by-step explanation:
In a right triangle, the acute angles are complementary. That means that the sum of their measures is 90 deg.
m<A + m<C = 90
3x - 8 + x - 2 = 90
4x - 10 = 90
4x = 100
x = 25
m<A = 3x - 8
m<A = 3(25) - 8
m<A = 75 - 8
m<A = 67
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