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Svetllana [295]
3 years ago
6

Find the value of x of triangle ​

Mathematics
2 answers:
lys-0071 [83]3 years ago
5 0

Answer:

Given

=><em><u>An </u></em><em><u>exterior</u></em><em><u> </u></em><em><u>Angle </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>x</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>interior</u></em><em><u> </u></em><em><u>Angles </u></em><em><u>(</u></em><em><u>x-15°</u></em><em><u> </u></em><em><u>&</u></em><em><u> </u></em><em><u>2</u></em><em><u>x</u></em><em><u>-</u></em><em><u>2</u></em><em><u>5</u></em><em><u>)</u></em><em><u> </u></em><em><u>opposite</u></em><em><u> </u></em><em><u>to </u></em><em><u>the </u></em><em><u>exterior</u></em><em><u> Angle</u></em><em><u> </u></em>

To Find

<h3>=> The value of X and each angle</h3>

\huge\colorbox{yellow}{answer}

<h2>=>Applying The theorem of Exterior Angle Which states that <em><u>The </u></em><em><u>measure</u></em><em><u> of</u></em><em><u> </u></em><em><u>an </u></em><em><u>exterior</u></em><em><u> Angle</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>Sum of</u></em><em><u> </u></em><em><u>two </u></em><em><u>OPPOSITE</u></em><em><u> interior</u></em><em><u> angles</u></em></h2>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>x-15°</u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em><em><u>5</u></em><em><u>°</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>x</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>3</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>0</u></em><em><u>°</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>x</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>3</u></em><em><u>x</u></em><em><u>-</u></em><em><u>4</u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>0</u></em>

<h2><em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>X=</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>°</u></em></h2>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>x-15°</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>-</u></em><em><u>1</u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>-</u></em><em><u>5</u></em><em><u>°</u></em>

<em><u>=</u></em><em><u>></u></em><em><u>2</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>0</u></em><em><u>+</u></em><em><u>2</u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>5</u></em><em><u>°</u></em>

<em><u>Also </u></em><em><u>,</u></em>

<em><u>4</u></em><em><u>5</u></em><em><u>°</u></em><em><u>-</u></em><em><u>5</u></em><em><u>°</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>4</u></em>

<em><u>4</u></em><em><u>0</u></em><em><u>°</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>0</u></em><em><u>°</u></em>

<em><u>Hence </u></em><em><u>,</u></em><em><u> Verified</u></em><em><u> </u></em><em><u>✓</u></em>

Marrrta [24]3 years ago
4 0

Answer:

By the math, x = 10°

Here's my issue though, the top angle is x - 15°. That would be an angle of -5° which is impossible.

Step-by-step explanation:

x - 15 + 2x + 25 + 180 - 4x = 180°

combine like terms:

3x - 4x + 190 = 180°

-x = -10°

x = 10°

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