Answer:
x=17
Missing angles are 52 and 38.
Explanation:
All triangles add up to equal 180 degrees. Using this information we can create an equation to help solve this problem. We are given one of the angles and the other 2 are shown as expressions, so the equation will look like 90+(2x+4)+(3x+1)=180. You can subtract 90 from both sides to simplify the equation to (2x+4)+(3x+1)=90. From here solve for x.
Combine the like terms
Next, subtract 5 from both sides
Then, divide both sides by 5
Then, plug in 17 for x in the expressions to find the missing angles. The top angle is 3(17)+1=52. The bottom angle is 2(17)+4=38.