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

Circle the best answer, or write your answer on the line.
Ren paints two stripes out from the square corner of a giant toy block. The stripes split the corner into 18°, x and 35°. What is x, in degrees?
Two roads cross by Zee's park. A bike path from the crossing splits one angle into adjacent angles, 38° and 27°. Angle x is across from that whole angle. What is x?
Labeled sketch, not to scale: two straight lines cross at one point. A ray from the crossing splits one of the four angles into 38° and 27°. Angle x is across from that whole angle. Labeled sketch, not to scale: two straight lines cross at one point. A ray from the crossing splits one of the four angles into 38° and 27°. Angle x is across from that whole angle. 38° 27° x Not to scale. 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. Luz sticks a paper chain out from the square corner of a window. It splits the corner into complementary angles of 22° and (4x)°. What is x?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 22° and (4x)°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by one ray into two angles marked 22° and (4x)°. 22° (4x)° Not to scale. Milo's scissors open wide, and the blades cross like an X. Angle x is across from a 137° angle. What kind of angle pair are they?
Labeled sketch, not to scale: two straight lines cross at one point. The 137° angle and angle x are across from each other. Labeled sketch, not to scale: two straight lines cross at one point. The 137° angle and angle x are across from each other. Labeled sketch 137° x Not to scale. - Vertical angles: they are equal
- Supplementary angles: they add to 180°
- Complementary angles: they add to 90°
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. - Supplementary angles: they add to 180°
- Vertical angles: they are equal, and sit across from each other
- Complementary angles: they add to 90°
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 = 90
- 5x + 40 = 360
- 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 = 90
- x + 25 + 94 = 180
- x + 25 = 94
- x + 25 + 94 = 360
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.