The measure of angle A is 9 more than twice the measure of angle B.If angle A and angle B are supplementary angles.
2007-08-20 01:26:50 · 7 answers · asked by ??unknown?? 1 in Science & Mathematics ➔ Mathematics
Okay, so supplementary angles are angles that total 180 degrees.
Angle A is 9 more than twice angle B, so solve in terms of B.
A + B = 180
A = 2(B) + 9
2B + 9 + B = 180
3B = 171
B = 57
If B = 57, A = 123.
2007-08-20 01:33:51 · answer #1 · answered by aceoffreaks 2 · 2⤊ 0⤋
Hey there!
Here's the answer.
A=2B+9 --> Write the problem.
A+B=180 --> Write the definition of supplementary angles.
2B+9+B=180 --> Substitute 2B+9 for A.
3B+9=180 --> Add 2B and B.
3B=171 --> Subtract 9 on both sides of the equation.
B=57 --> Divide 3 on both sides of the equation.
A=2B+9 --> Write the problem.
A=2(57)+9 --> Substitute 57 for B.
A=114+9 --> Multiply 2 and 57.
A=123 Add 114 and 9.
So the measure of angle A is 123 degrees.
Hope it helps!
2007-08-20 11:11:49 · answer #2 · answered by ? 6 · 0⤊ 0⤋
You want to solve these two equations: A = 9 + 2B and
A + B = 180. Find B = 57 and A = 123 .
2007-08-20 08:36:05 · answer #3 · answered by Tony 7 · 0⤊ 0⤋
A+B=180
A=9+2B
9+2B +B=180
3B=171
B=57
A=180-57 = 123
2007-08-20 08:37:43 · answer #4 · answered by bignose68 4 · 0⤊ 0⤋
A = 2B + 9 (A - 2B = 9)
A + B = 180 (2A + 2B = 360)
(A - 2B)+(2A+2B)=360 + 9
Reduced to:
3A = 369
A = 123 degrees
B = 57 degrees
2007-08-20 08:43:01 · answer #5 · answered by Chad K 2 · 0⤊ 0⤋
a=9+ 2b
a + b =180
3b=171
find a and b
2007-08-20 08:34:04 · answer #6 · answered by prateek 1 · 0⤊ 0⤋
9 * (180-A)
2007-08-20 08:31:06 · answer #7 · answered by Anonymous · 0⤊ 2⤋