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

Circle the best answer, or write your answer on the line.
Two bike paths leave a straight trail at the same point near Pia's school. Along the trail the angles are 33°, x and 41°. What is x, in degrees?
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?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by two rays into three angles side by side: 18°, x° and 35°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by two rays into three angles side by side: 18°, x° and 35°. 18° x° 35° Not to scale. Tala tapes two streamers out from the square corner of the snack table, and nobody trips. They split the corner into 14°, x and 47°. What is x, in degrees?
Labeled sketch, not to scale: a square corner with its right-angle mark, split by two rays into three angles side by side: 14°, x° and 47°. Labeled sketch, not to scale: a square corner with its right-angle mark, split by two rays into three angles side by side: 14°, x° and 47°. 14° x° 47° Not to scale. Bo's kite sticks cross, and the tail string ties on at the crossing. It splits one angle into 52° and 61°. Angle x is across from that whole angle. What is x, in degrees?
Labeled sketch, not to scale: two straight lines cross at one point. A ray from the crossing splits one of the four angles into 52° and 61°. 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 52° and 61°. Angle x is across from that whole angle. 52° 61° x 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. - Complementary angles: they add to 90°
- Supplementary angles: they add to 180°
- Vertical angles: they are equal, and sit across from each other
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. - Supplementary angles: they add to 180°
- Vertical angles: they are equal
- Complementary angles: they add to 90°
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
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 = 180
- 3x + 31 = 360
Bo's tent poles cross at the top like an X. The (4x)° angle is across from a 96° angle. Which equation finds x?
Labeled sketch, not to scale: two straight lines cross at one point. The angle marked (4x)° is across from the angle marked 96°. Labeled sketch, not to scale: two straight lines cross at one point. The angle marked (4x)° is across from the angle marked 96°. 96° (4x)° Not to scale. - 4x + 96 = 90
- 4x + 96 = 360
- 4x = 96
- 4x + 96 = 180
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.