Find the value of x from the adjacent quadrilateral and also find angle A and AngleB

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the 4 angles and equate to 360

x + 2x + 1 + 50 + 30 = 360 , that is

3x + 81 = 360 ( subtract 81 from both sides )

3x = 279 ( divide both sides by 3 )

x = 93

Then

∠ A = 2x + 1 = 2(93) + 1 = 186 + 1 = 187°

∠ B = x = 93°

∠ A = 2x + 1 = 2(93) + 1 = 186 + 1 = 187°

∠ B = x = 93°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + 2x + 1 + 50 + 30 = 360

3x + 81 = 360 ( subtract 81 from both sides )

3x = 279 ( divide both sides by 3 )

x = 93

Then

∠ A = 2x + 1 = 2(93) + 1 = 186 + 1 = 187°

∠ B = x = 93°

Hence, the corrects answers are ∠ A = 2x + 1 = 2(93) + 1 = 186 + 1 = 187°

∠ B = x = 93°

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.