Answer:
m∠1= 110
m∠2= 39
m∠3= 31
Step-by-step explanation:
All of these angles would sum up to 360 degrees, but due to half of the angles missing, then we can only do half at a time.
First, the angles given are m∠4, m∠5, and m∠6. Which are:
m∠4= 90
m∠5= 59
m∠6= 31
So, we need to find m∠1. To do so, the equation would be: m∠5+m∠6+m∠1= 180
Step 1- Substitute into the equation with the information given.
59+31+m∠1= 180
Step 2- Simplify.
90+m∠1= 180
Step 3- Subtract 90 to both sides.
90+m∠1= 180
-90 -90
m∠1= 110
So, now we know m∠1 which is 110 degrees.
Now, for m∠2 the equation would be: m∠1+m∠2+m∠6= 180
Substitute into the equation.
110+m∠2+31= 180
Step 1- Add to simplify,
141+m∠2= 180
Step 2- Subtract 141 to both sides.
141+m∠2= 180
-141 -141
m∠2= 39
Now we know most of them, and now we need m∠3.
The equation would be: m∠1+m∠2+m∠3= 180
Substitute the equation with the information given.
110+39+m∠3= 180
Step 1- Add to simplify.
149+m∠3= 180
Step 2- Subtract 149 to both sides.
149+m∠3= 180
-149 -149
m∠3= 31
Now we know all the angles!
