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s2008m [1.1K]
2 years ago
10

The measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

Mathematics
1 answer:
snow_lady [41]2 years ago
8 0

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

<u>Don't know what supplementary angle is?</u>

<em>Supplementary angle are angles that :</em>

<em>Equal 180 °</em>

<em />

<u><em>Solve:  </em></u>

<em>Since,</em>

<em>∠ABD is (0.18x+54)° </em>

<em>∠CBD is (0.07x+39)°</em>

<em />

<em>Thus,</em>

<em>(0.18x+54) + 0.07x + 39 = 180</em>

<em>Group likes terms:</em>

<em>0.25x + 54 + 39 = 180</em>

<em>0.25 + 93 = 180</em>

<em>Subtract 93 from both sides</em>

<em>0.25x = 87</em>

<em>x = 348</em>

<em />

<em>Check Answer:</em>

<em>0.18(348) + 54 + 0.07(348) + 39 </em>

<em>= 180</em>

<em />

<em />

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