Let’s solve each problem one by one. Remember: the sum of the interior angles in any quadrilateral is always
360 degrees. We’ll use that to find the missing angle in each case.
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Problem 1)
Angles given: 100°, 89°, 100° — need to find angle at W.
Add known angles: 100 + 89 + 100 = 289
Subtract from 360: 360 - 289 =
71°
✔ Angle at W = 71°
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Problem 2)
Angles given: 92°, 85°, 120° — need to find angle at D (marked with ?).
Add known angles: 92 + 85 + 120 = 297
Subtract from 360: 360 - 297 =
63°
✔ Angle at D = 63°
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Problem 3)
Angles given: 65°, 110°, 87° — need to find angle at G (marked with ?).
Add known angles: 65 + 110 + 87 = 262
Subtract from 360: 360 - 262 =
98°
✔ Angle at G = 98°
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Problem 4)
This is a rectangle! All angles are right angles → 90° each.
The question mark is at L → so it’s
90°
✔ Angle at L = 90°
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Problem 5)
Angles given: 96°, 96°, 68° — need to find angle at I (marked with ?).
Add known angles: 96 + 96 + 68 = 260
Subtract from 360: 360 - 260 =
100°
✔ Angle at I = 100°
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Problem 6)
Angles given: 86°, 114°, and two others? Wait — we have T, U, V, W.
Given: T has ?, U=86°, V=x (we’re solving for x), W=114°.
Wait — actually, looking again: angle at T is marked with a square → that means 90°!
So angles: T=90°, U=86°, W=114°, V=?
Add known: 90 + 86 + 114 = 290
Subtract from 360: 360 - 290 =
70°
✔ Angle at V = 70°
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Problem 7)
Angles given: 102°, 80°, 106° — need to find angle at P (marked with ?).
Add known angles: 102 + 80 + 106 = 288
Subtract from 360: 360 - 288 =
72°
✔ Angle at P = 72°
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Problem 8)
Angles given: 95°, 85°, 85° — need to find angle at Y (marked with ?).
Add known angles: 95 + 85 + 85 = 265
Subtract from 360: 360 - 265 =
95°
✔ Angle at Y = 95°
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Final Answer:
1) 71°
2) 63°
3) 98°
4) 90°
5) 100°
6) 70°
7) 72°
8) 95°
Parent Tip: Review the logic above to help your child master the concept of angles in quadrilaterals worksheet answers.
