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dalvyx [7]
3 years ago
15

Two angles of a quadrilateral measure 40° and 180°. The other two angles are in a ratio of 13:15. What are the measures of those

two angles?
Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Step-by-step explanation:

<em>Two </em><em>angles </em><em>are </em><em>given </em>

<em>1st </em><em>angle </em><em>=</em><em> </em><em>4</em><em>0</em><em>°</em><em> </em><em> </em><em>2nd </em><em>angle </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>And </em><em>let </em><em>other </em><em>two </em><em>angels </em><em>be </em><em>1</em><em>3</em><em> </em><em>x </em><em>and </em><em>15x</em>

<em>4</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>18</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>13x </em><em>+</em><em> </em><em>15x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em><</em><em>Being </em><em>sum </em><em>of </em><em>angles </em><em>of </em><em>quadrilateral </em><em>></em>

<em>2</em><em>2</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>28x</em><em> </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em>

<em>28x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>2</em><em>2</em><em>0</em><em>°</em>

<em>28x </em><em>=</em><em> </em><em>1</em><em>4</em><em>0</em><em>°</em>

<em>x </em><em>=</em><em> </em><em>1</em><em>4</em><em>0</em><em>°</em><em> </em><em>/</em><em> </em><em>28</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>5</em><em>°</em>

<em>Measures </em><em>of </em><em>two</em><em> </em><em>angles </em>

<em>13x </em><em>=</em><em> </em><em>1</em><em>3</em><em> </em><em>*</em><em> </em><em>5</em><em>°</em><em> </em><em>=</em><em> </em><em>6</em><em>5</em><em>°</em>

<em>15x </em><em>=</em><em> </em><em>1</em><em>5</em><em> </em><em>*</em><em> </em><em>5</em><em>°</em><em> </em><em>=</em><em> </em><em>7</em><em>5</em><em>°</em>

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