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lora16 [44]
2 years ago
15

The diagram shows a convex polygon solve for b

Mathematics
1 answer:
ladessa [460]2 years ago
7 0

Answer:

b = 68°

Step-by-step explanation:

<em>he's</em><em> your</em><em> solution</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>angle</em><em> of</em><em> </em><em>a </em><em>polygon</em><em> </em><em>is </em><em>given</em><em> </em><em>by </em><em> </em><em>=</em><em> </em>

<em>(</em><em>2</em><em>n</em><em> </em><em>-</em><em>4</em><em>)</em><em>*</em><em>9</em><em>0</em><em>°</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em>(</em><em>2</em><em>*</em><em>8</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em><em> </em><em>*</em><em>9</em><em>0</em><em>°</em>

<em> </em><em>=</em><em>></em><em> </em><em>1</em><em>2</em><em>*</em><em>9</em><em>0</em><em>°</em>

<em> </em><em> </em><em>=</em><em>></em><em> </em><em>sum </em><em>of </em><em>all </em><em>angles </em><em>=</em><em> </em><em>1</em><em>0</em><em>8</em><em>0</em><em>°</em>

<em> </em><em> </em><em>=</em><em>></em><em> </em><em>now,</em><em> </em><em>1</em><em>5</em><em>0</em><em>°</em><em>+</em><em>1</em><em>4</em><em>4</em><em>°</em><em>+</em><em>1</em><em>2</em><em>7</em><em>°</em><em>+</em><em>2</em><em>b</em><em>+</em><em>b+</em><em>5</em><em>0</em><em>°</em><em>+</em><em>2</em><em>b</em><em>+</em><em>1</em><em>1</em><em>°</em><em>+</em><em>2</em><em>b</em><em>-</em><em>2</em><em>0</em><em>°</em><em>+</em><em>2</em><em>b</em><em>+</em><em>6</em><em>°</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>8</em><em>0</em><em>°</em>

<em>=</em><em>></em><em> </em><em>9</em><em>b</em><em> </em><em>+</em><em> </em><em>4</em><em>6</em><em>8</em><em>°</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>8</em><em>0</em><em>°</em><em> </em>

<em>=</em><em>></em><em> </em><em>9</em><em>b</em><em> </em><em>=</em><em> </em><em>6</em><em>1</em><em>2</em><em>°</em><em> </em>

<em>=</em><em>></em><em> </em><em>b=</em><em> </em><em>6</em><em>1</em><em>2</em><em>°</em><em>/</em><em>9</em>

<em> </em><em> </em><em>=</em><em>></em><em> </em><em> </em><em>6</em><em>8</em><em>°</em><em> </em>

<em>hope</em><em> it</em><em> helps</em>

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