I'll solve this step by step, working through each section carefully.
## Section A: Right Angles (angles that add up to 90°)
a°: One angle is 25°, so a° = 90° - 25° = 65°
b°: One angle is 15°, so b° = 90° - 15° = 75°
c°: One angle is 80°, so c° = 90° - 80° = 10°
d°: One angle is 72°, so d° = 90° - 72° = 18°
e°: One angle is 34°, so e° = 90° - 34° = 56°
f°: One angle is 79°, so f° = 90° - 79° = 11°
## Section B: Straight Lines (angles that add up to 180°)
g°: One angle is 45°, so g° = 180° - 45° = 135°
h°: One angle is 128°, so h° = 180° - 128° = 52°
i°: One angle is 104°, so i° = 180° - 104° = 76°
j°: Three angles on a straight line: 71° + 48° + j° = 180°
So j° = 180° - 71° - 48° = 61°
k°: This shows a right angle (90°) plus 11° plus k° = 180°
So k° = 180° - 90° - 11° = 79°
l°: Two angles are shown: 43° and l° = 180°
So l° = 180° - 43° = 137°
m°: Three angles: 25° + 78° + m° = 180°
So m° = 180° - 25° - 78° = 77°
n°: This shows a right angle (90°) plus 16° plus n° = 180°
So n° = 180° - 90° - 16° = 74°
p°: This shows a right angle (90°) plus 66° plus p° = 180°
So p° = 180° - 90° - 66° = 24°
q°: Three equal angles on a straight line: q° + q° + q° = 180°
So 3q° = 180°, which means q° = 180° ÷ 3 = 60°
Let me verify my calculations:
- Section A: All should add to 90° ✓
- Section B: All should add to 180° ✓
Final Answer:
a° = 65°, b° = 75°, c° = 10°, d° = 18°, e° = 56°, f° = 11°
g° = 135°, h° = 52°, i° = 76°, j° = 61°, k° = 79°, l° = 137°, m° = 77°, n° = 74°, p° = 24°, q° = 60°
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet angles.
