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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Answer:
12
Step-by-step explanation:
First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12
If cos(70) = 0.342
the cosine of the alternative angle of 70° will also give the same value
angle measure = 360 - 70 = 240°
cos (240) will also be 0.342
Step-by-step explanation:
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