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TEA [102]
3 years ago
11

Help with this question please and thanks in advance

Mathematics
1 answer:
SashulF [63]3 years ago
3 0
Answer: x=39

3x-15=2x+24
-2x -2x
1x-15=24
+15 +15
x=39

Explanation: Non-consecutive angles are congruent. Set the two angles equal to each other and solve for x. You should get x=39.
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Solution given:

we have

<A+<B=exterior <C[<u>s</u><u>u</u><u>m</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>w</u><u>o</u><u> </u><u>opposite</u><u> </u><u>interior</u><u> </u><u>angle</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>tri</u><u>angle</u><u> </u><u>is</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>exterior</u><u> </u><u>angle</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>triangle</u><u>]</u>

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Now

<u><</u><u>A</u><u>=</u><u>3</u><u>×</u><u>2</u><u>5</u><u>-</u><u>1</u><u>3</u><u>=</u><u>6</u><u>2</u><u>°</u>

<u><</u><u>B</u><u>=</u><u>2</u><u>×</u><u>2</u><u>5</u><u>+</u><u>4</u><u>=</u><u>5</u><u>4</u><u>°</u>

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