Complementary= 90 Degrees
Equation: x + x = 90
A = x
B = x + 32
2x = 90 - 32
2x = 58
x = 29
Angle A = 29 degrees
Angle B = 61 degrees.
Answer: Two measurements are 29° and 61° .
Step-by-step explanation:
Since we have given that
∠A and ∠B are complementary angles.
So, sum of ∠A and ∠B is 90°
so, our equation becomes,
[tex]\angle A+\angle B=90^\circ--------(1)[/tex]
And according to question, it becomes,
[tex]\angle B-\angle A=32^\circ\\\\\angle B=32^\circ+\angle A------(2)[/tex]
By putting the value of Eq(2) in Eq(1), we get that
[tex]\angle A+\angle B=90^\circ\\\\\angle A+32^\circ+\angle A=90^\circ\\\\2\angle A+32^\circ=90^\circ\\\\2\angle A=90^\circ-32^\circ\\\\2\angle A=58^\circ\\\\\angle A=\dfrac{58}{2}=29^\circ[/tex]
So, ∠A = 29°
and ∠B = 90° - 29° = 61°
Hence, two measurements are 29° and 61° .
