Respuesta :
Answer:
If one angle measures 3 degrees more than twice the measure of the other.The measure of smaller angle is 29°
Solution:
Consider “a” as the measure of smaller angle and “b” as the measure of compliment of second angle.
Given that one angle measures 3 degrees more than twice the measure of other. Hence we consider angle “y” measures 3 degrees more than twice the other angle “x”
y = 3 + 2x --- eqn 1
Given that, sum of complimentary angles is 90° .hence we get,
x + y = 90 --- eqn 2
Substituting eqn1 in eqn 2, we get
x + 3 + 2x = 90
on rearranging and solving for “x” , we get
3x + 3 = 90
3x = 90-3
3x = 87
[tex]x = \frac{87}{3} = 29[/tex]
On substituting x=29 in eqn 1,we get the value of y
y = 3 + 2 (29) = 3 + 58 = 61
Hence we get “x” = 29 and “y” = 61 .So the measure of smaller angle is 29°
