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lisabon 2012 [21]
3 years ago
12

Please Help!!! I am totally lost! Solve for x and find mangleABC.

Mathematics
1 answer:
kupik [55]3 years ago
3 0
When something bisects an angle, it cuts that angle in half. This means that ray BD cuts angle ABC in half. Therefore, angle ABD, which is formed by cutting the angle in half, is equal to angle CBD, which is also formed by cutting the angle in half. Because of this, you have to set the equation equal to each other.

9x-18=5x+2

Combine like terms. Add 18 to both sides.

9x=5x+20

Combine like terms. Subtract 5x from both sides.

4x=20

Divide 4 on both sides.

x=5 degrees
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All quadrilaterals has a total measure of angle equal to 360 degrees. In the parallelogram ABCD, m<B = m<D = 41. So if m<B = m<D = 41, we have 41 + 41 = 82 degrees. Since the parallelogram is a quadrilateral, it has a total measure of angle of 360 degrees. So 360 – 82 is equal to 278 degrees. If the measure of angle C is equal to the measure of angle A, divide 278 by 2. We get 139 degrees. To confirm if the parallelogram ABCD has a total measure of 360 degrees, add 41 + 41 + 139 + 139 = 360 degrees.

7 0
4 years ago
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Step-by-step explanation:

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7 0
3 years ago
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