will give brainliest!!!!!!!!!!!!!! Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BCD = 3x◦, m⦨CDA = 2x◦, m⦨DAB = 3x◦. Hint: Use the formula, (n – 2)180 to find the total degrees of the polygon. Write an equation and solve for x. Use the value of x=30 that you found in Question 1 to find the measure of the four interior angles: m⦨ABC = ?◦, m⦨BCD = ?◦, m⦨CDA = ?◦, m⦨DAB = ?◦ List all four interior angle measures for full credit.

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akposevictor akposevictor · Answer 1 · 2020-09-09T12:48:15+02:00

Answer/Step-by-step explanation:

Sum of the interior angles of quadrilateral = (n - 2)180 = 4 - 2(180) = 2(180) = 360°

m<ABC = 4x◦,

m<BCD = 3x◦,

m<CDA = 2x◦,

m<DAB = 3x◦.

Therefore, the following equation can be written to solve for x:

4x + 3x + 2x + 3x = 360

12x = 360°

To solve for x, divide both sides by 12

12x/12 = 360/12

x = 30

Plug in the value of x to find the measures of each interior angle:

m<ABC = 4x = 4(30) = 120°

m<BCD = 3x = 3(30) = 90°

m<CDA = 2x = 2(30) = 60°

m<DAB = 3x = 3(30) = 90°