Respuesta :
Answer: 35 (choice C)
Work Shown:
angle1+angle2+angle3 = 180
90+65+(x-10) = 180
x+145 = 180
x = 180-145
x = 35
Explanation:
I'm using the idea that the 3 inside angles of any triangle add to 180 degrees. That's how I got the equation set up. Afterward, we combine like terms. The last step is to subtract 145 from both sides to fully isolate x.
Answer:
C) 35
Step-by-step explanation:
All triangles have a total of 180 degrees.
Setting Up an Equation
We know that the sum of all angles in a triangle will be 180 degrees. So, we can create an equation that adds all of the angles together, then set this equal to 180.
- 90 + 65 + (x-10) = 180
Then, we can use this to solve for x.
Finding X
To find x we can isolate the variable. Firstly, combine like-terms.
- 155 + (x-10) = 180
Then, subtract 155 from both sides.
- x-10 = 25
Now, add 10 to both sides.
- x = 35
This means that x = 35. Also, the angles measurements are 90, 65, and 25.