Question

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

Answer 1

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

∠ B = x = 93°

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°

Answer 2

see explanation

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°