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elena-s [515]
3 years ago
13

Solve for x in the diagram below. 30° 80° 2.cº T =

Mathematics
2 answers:
Lilit [14]3 years ago
8 0

<em>Hello</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em><em>!</em>

<em>Given</em><em> </em><em>that</em><em>, </em>

<em>8</em><em>0</em><em>°</em><em>,</em><em>3</em><em>x</em><em>°</em><em> </em><em>and</em><em> </em><em> </em><em>2</em><em>x</em><em>°</em><em>are</em><em> </em><em>three</em><em> </em><em>angles</em><em> </em><em>on</em><em> </em><em>a</em><em> </em><em>st.line</em><em>.</em>

<em>we</em><em> </em><em>have</em><em>,</em>

<em>2</em><em>x</em><em>°</em><em>+</em><em>3</em><em>x</em><em>°</em><em>+</em><em>8</em><em>0</em><em>°</em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em><em> </em><em> </em><em> </em><em>{</em><em>The</em><em> </em><em>total</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>angles</em><em> </em><em>on</em><em> </em><em>a</em><em> </em><em>st</em><em>.</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em><em>}</em><em>.</em>

<em>or</em><em>,</em><em> </em><em>5</em><em>x</em><em>°</em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em><em>-80</em><em>°</em>

<em>or</em><em>,</em><em> </em><em>5</em><em>x</em><em>°</em><em>=</em><em>1</em><em>0</em><em>0</em><em>°</em>

<em>or</em><em>,</em><em> </em><em>x</em><em>=</em><em> </em><em>1</em><em>0</em><em>0</em><em>°</em><em>/</em><em>5</em>

<em>Therefore</em><em> </em><em>the </em><em>value of</em><em> </em><em>x is</em><em> </em><em>2</em><em>0</em><em>°</em><em>.</em>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

Andrei [34K]3 years ago
4 0
180 = 80 + 2x + 3x
100 = 5x
x = 20
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