Find missing angles (straight line, corner, crossing lines)
Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.
Ari cuts a pizza with two straight cuts that cross. A short cut from the middle splits one angle into 44° and 39°. Angle x is across from that whole angle. What is x?
Jun swings the gym door open for the relay race. The angles on each side of the door are supplementary: 84° and (3x)°. What is x?
Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 84° and (3x)°. Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 84° and (3x)°. 84° (3x)° Not to scale. Kira folds the square corner of a paper for a paper-plane wing. The fold makes complementary angles of 34° and (2x)°. What is x?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 34° and (2x)°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 34° and (2x)°. 34° (2x)° Not to scale. At sunset a ray of light reaches the flat lake by Noah's tent. The angles on each side of the ray are 21° and x. What kind of angle pair are they?
Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 21° and x°. Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 21° and x°. 21° x° Not to scale. - Vertical angles: they are equal, and sit across from each other
- Complementary angles: they add to 90°
- Supplementary angles: they add to 180°
Ren stands a pencil on a flat ruler for a wobbly science demo. The angles on each side of the pencil are 152° and x. What kind of angle pair are they?
Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 152° and x°. Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 152° and x°. 152° x° Not to scale. - Vertical angles: they are equal
- Supplementary angles: they add to 180°
- Complementary angles: they add to 90°
Tala stitches a line out from the square corner of a quilt square. It splits the corner into 40° and (5x)°. Which equation finds x?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 40° and (5x)°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 40° and (5x)°. 40° (5x)° Not to scale. - 5x + 40 = 360
- 5x + 40 = 90
- 5x + 40 = 180
- 5x = 40
Zee's kite sticks cross like an X. The (x + 25)° angle is across from a 94° angle. Which equation finds x?
Labeled sketch, not to scale: two straight lines cross at one point. The angle marked (x + 25)° is across from the angle marked 94°. Labeled sketch, not to scale: two straight lines cross at one point. The angle marked (x + 25)° is across from the angle marked 94°. 94° (x + 25)° Not to scale. - x + 25 + 94 = 180
- x + 25 + 94 = 360
- x + 25 + 94 = 90
- x + 25 = 94
Ari draws a line out from the square corner of a birthday-card envelope. It splits the corner into 31° and (3x)°. Which equation finds x?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 31° and (3x)°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 31° and (3x)°. 31° (3x)° Not to scale. - 3x + 31 = 90
- 3x = 31
- 3x + 31 = 360
- 3x + 31 = 180
Luz paints three spokes of a bike wheel bright colors. The painted spokes make angles of 62°, 104° and x around the hub. What is x, in degrees?
Labeled sketch, not to scale: three rays from one point make three angles all the way around it: 62°, 104° and x°. Labeled sketch, not to scale: three rays from one point make three angles all the way around it: 62°, 104° and x°. 62° 104° x° Not to scale. Milo cuts a birthday cake into three pieces from the center. Two of the angles at the center are 118° and 47°. What is the third angle, x, in degrees?
Labeled sketch, not to scale: three rays from one point make three angles all the way around it: 118°, 47° and x°. Labeled sketch, not to scale: three rays from one point make three angles all the way around it: 118°, 47° and x°. 118° 47° x° Not to scale.