If an angle is Half of its complement. find the angles
Answers
Answer:
We know that, if two angles are complementary, then their sum is 90
o
.
Let one angle = x
0
Then, second angle = (
2
x
)
o
⇒x+
2
x
=90
0
⇒
2
3x
=90
0
⇒3x=90
0
×2=180
0
⇒x=60
0
.
One angle =60
0
and the other angle =
2
x
=
2
60
o
=30
0
.
Therefore, the angles are 30
0
and 60
0
.
Step-by-step explanation:
hope it helps uh!
Step-by-step explanation:
Hint- In order to find the required angle, we will use the property of complementary angle which states that two angles are complementary if and only if their sum is equal to 90 degrees.
Complete step-by-step solution -
Let the angle which is half of its complement is x
As, we know that, if two angles are complementary then their sum must be equal to 900
So, if x is the angle then its complementary angle will be 900−x
But it is given that the required angle is half of its complimentary, so
x=900−x2
Multiply both the side by 2, we have
2x=900−x
Add x to both the sides, we get
3x=900
Divide both the side by 3, we obtain
x=9003x=300
Hence, the required angle is 300.