[ Answer(s) ]
[tex]\boxed{X \ = \ 18}[/tex]
[tex]\boxed{X \ = \ 45}[/tex]
[ Explanation(s) ]
- Problem One -
The angle with the square equals 90°.
25 + X = 90 Degrees.
To find X, we need to use subtraction.
90 - 25 = 65.
The missing angle is 65, but now we need to figure out how to get 65.
Equation: 3x + 11 = 65
Subtract 11 From Both Sides:
3x + 11 - 11 = 65 - 11
Simplify:
3x = 54
Divide Both Sides By 3:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{54}{3}[/tex]
Simplify:
[tex]\boxed{X \ = \ 18}[/tex]
Check your work: 3 * 18 + 11 = 65
-----------------------------------
- Problem Two -
The angle that has 3x equals 180°.
To find what X equals, we need to use subtraction.
180 - 45 = 135. Now we need to find the answer to the equation:
3x = 135
Divide Both Sides By 3:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{135}{3}[/tex]
Simplify:
[tex]\boxed{X \ = \ 45}[/tex]
Check your work: 3 * 45 = 135
[tex]\boxed{[ \ Eclipsed \ ]}[/tex]
