Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles
a. 53degrees, 127degrees
b. 23degrees, 67degrees
c. 21degrees, 69degrees
d. 157degrees, 23degrees
2006-12-08 14:02:13 · 5 answers · asked by georgia_gurl345 2 in Education & Reference ➔ Homework Help
Complementary angles are two angles that equal 90 degrees.
If x is one angle, then your equation is
x + (2x +21) = 90
3x + 21 = 90
3x= 69
x =23.
2 * 23 + 21 = 67.
So, b is your answer.
2006-12-08 14:11:14 · answer #1 · answered by lunatic_teacher 2 · 0⤊ 0⤋
A complementary angle is 90 degrees, so the first thing I would do is set up an equation:
x + (2x+21) = 90
3x+21=90
3x=69
x=23
So if the first angle is 23, the second angle must be 67 because 67 is one more than twice of 23.
2006-12-08 22:25:25 · answer #2 · answered by hannan 3 · 0⤊ 0⤋
7
2006-12-08 22:09:43 · answer #3 · answered by anonbealove 3 · 0⤊ 0⤋
Equation:///// Reason:
(x)+(2x+21)=180///// given
3x+21=180 ///// simplify
3x=159////// subtract
x=53 ////// divide
Its A when you plug in the value of X for each angle
2006-12-08 22:08:03 · answer #4 · answered by Anonymous 2 · 0⤊ 0⤋
i think i can help you, but i'm a little confused. are the a,b,c and d questions tied in to the first one...? but about the complementary angles...that means two angles equal 90 degrees....contact me. i can help you if you restate the question or something.
2006-12-08 22:08:47 · answer #5 · answered by sportzgurl 3 · 0⤊ 0⤋