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Calculating Missing Angles in Right Triangles Worksheet

Worksheet titled "Calculating Missing Angles" with eight right triangles, each showing two angles and one missing angle to be calculated, with instructions to find the missing angles using the fact that a right angle equals 90 degrees.

Worksheet titled "Calculating Missing Angles" with eight right triangles, each showing two angles and one missing angle to be calculated, with instructions to find the missing angles using the fact that a right angle equals 90 degrees.

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Show Answer Key & Explanations Step-by-step solution for: Missing Angle in Triangle worksheet
Let’s solve each triangle step by step.

Remember:
→ In any triangle, the three angles add up to 180°.
→ If there’s a right angle (marked with a square), that angle is 90°.
→ So if you know two angles, subtract them from 180° to find the missing one.
→ Or if it’s a right triangle and you know one other angle, just do:
Missing angle = 90° - known acute angle

---

Problem 1:
Triangle has angles: 90°, 45°, and a°
So: a = 180 - 90 - 45 = 45°

Problem 2:
Triangle has angles: 90°, 40°, and d°
d = 180 - 90 - 40 = 50°

Problem 3:
Triangle has angles: 90°, 61°, and b°
b = 180 - 90 - 61 = 29°

Problem 4:
Triangle has angles: 90°, 48°, and x°
x = 180 - 90 - 48 = 42°

Problem 5:
Triangle has angles: 90°, 37°, and y°
y = 180 - 90 - 37 = 53°

Problem 6:
Triangle has angles: 90°, 62°, and n°
n = 180 - 90 - 62 = 28°

Problem 7:
Triangle has angles: 90°, 15°, and m°
m = 180 - 90 - 15 = 75°

Problem 8:
Triangle has angles: 90°, 46°, and t°
t = 180 - 90 - 46 = 44°

All calculations checked — they’re correct!

Final Answer:
1) a = 45°
2) d = 50°
3) b = 29°
4) x = 42°
5) y = 53°
6) n = 28°
7) m = 75°
8) t = 44°
Parent Tip: Review the logic above to help your child master the concept of missing angle worksheet.
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