Yes, an angle less than 90 degrees is acute.
Step-by-step explanation:
For a
Let the another angle be x then
x + 51° = 90° {being complementary angles }
x = 90° - 51°
x = 39°
For b
Let the another angle be x then
x + 113° = 180° {being supplementary angles }
x = 180° - 113°
x = 67°
Answer:
40!
Step-by-step explanation:
3x+20+40=180
3x+60=180
3x=120
x=40
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.
Given:
θ = 60°
Opposite side of θ = 6
Adjacent side of θ = x
Hypotenuse = y
To find:
The value of x and y.
Solution:
Using basic trigonometric ratio formula:
The value of tan 60° = √3
Multiply by x on both sides.
Divide by √3 on both sides, we get
Using Pythagoras theorem:
Taking square root on both sides, we get
Therefore, the exact values of x and y are .