Answer:
x= 32
∠ABC= 79
∠ACB= 64
Step-by-step explanation:
To solve interior angles, remember that a triangle always sums up to 180 degrees. So, all the angles added together should equal to 180 degrees.
The equation would be: 2x+15+2x+37= 180
Step 1- Add common variables.
(2x+2x)+(15+37)= 180
4x+52= 180
Step 2- Subtract 52 to both sides.
4x+52= 180
-52 -52
4x= 128
Step 3- Divide both sides by 4.
4x= 128
4 4
x= 32
Now that we know the value of x, substitute it into the angles.
∠ABC= 2(32)+15= 79
∠ACB= 2(32)= 64
Check
Add all the angles together to make sure they sum up to 180 degrees.
79+64+37= 180
Hope this helps!
