Question

Question on the image

Answer 1

Answer:

x = 30°

Step-by-step explanation:

So the total angle of a quadrilateral is 360°.

Your goal is to find x which associate numbers in each corner.

The equation to the quadrilateral is this:

a + b + c + d = 360°

a = ∠ABC = 4x

b = ∠BCD = 3x

c = ∠CDA = 2x

d = ∠DAC = 3x

∠ABC + ∠BCD +∠CDA + ∠DAB = 360°

4x + 3x + 2x + 3x = 360°

7x + 5x = 360°

12x = 360°

x = 360 ÷ 12

x = 30°

**Important steps are in bold**