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2 years ago

Find the values of a and b. a The diagram is not drawn to scale. a = U b = U

Mathematics

1 answer:

nata0808 [166]2 years ago

7 0

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

= (10 - 2) × 180°

= 8 × 180°

= 1440°

Interior angle = b = sum of interior angles ÷ number of sides

b = 1440 ÷ 10

b = 144°

a + b = 180° (Sum of angles in the straight line)

a + 144° = 180°

a + 144° - 144° = 180° - 144°

a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

a = 360° ÷ 10

a = 36°

a + b = 180° (Sum of angles in the straight line)

36° + b = 180°

36° + b - 36° = 180° - 36°

b = 144°

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