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

Circle the best answer, or write your answer on the line.
Noah sets an open book flat on the desk, and two pages stand up from the spine. Along the flat covers the angles are 26°, x and 39°. What is x, in degrees?
Esme's ladder stands on flat ground by the treehouse. The angles on each side of the ladder are supplementary: 60° and (4x)°. 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 60° and (4x)°. Labeled sketch, not to scale: a straight line with one ray from a point on it. The two angles side by side are marked 60° and (4x)°. 60° (4x)° 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. 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. 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. - Supplementary angles: they add to 180°
- Complementary angles: they add to 90°
- Vertical angles: they are equal
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. - Complementary angles: they add to 90°
- Vertical angles: they are equal, and sit across from each other
- Supplementary angles: they add to 180°
Pia cuts a pizza with two straight cuts that cross in the middle (extra cheese everywhere). Angle x is across from a 76° angle. What kind of angle pair are they?
Labeled sketch, not to scale: two straight lines cross at one point. The 76° angle and angle x are across from each other. Labeled sketch, not to scale: two straight lines cross at one point. The 76° angle and angle x are across from each other. 76° x Not to scale. - Complementary angles: they add to 90°
- Vertical angles: they are equal
- Supplementary angles: they add to 180°
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 = 360
- 3x = 31
- 3x + 31 = 180
- 3x + 31 = 90
Kira cuts a round pizza into three slices from the center (one slice is clearly the biggest). Two slice angles are 85° and 70°. 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: 85°, 70° and x°. Labeled sketch, not to scale: three rays from one point make three angles all the way around it: 85°, 70° and x°. 85° 70° x° Not to scale. 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.