3.
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)
Substitute.
x + 5 + 2x + 7 = 90
3x + 12 = 90
-12 -12
subtract 12 from both sides
3x = 78
Divide each side by 3 to get x by itself
x = 26
4. those two angles in the picture are vertical, which means they're congruent.
with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...
m/_w + 90 = 125
subtract 90 on both sides
m/_w = 35
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)
Substitute.
x + 5 + 2x + 7 = 90
3x + 12 = 90
-12 -12
subtract 12 from both sides
3x = 78
Divide each side by 3 to get x by itself
x = 26
4. those two angles in the picture are vertical, which means they're congruent.
with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...
m/_w + 90 = 125
subtract 90 on both sides
m/_w = 35