Question

Is it adjacent or vertical


find the value of X

Answer 1

Adjacent, x = 60°

Explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Answer 2

Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

`{:\implies \quad \sf x^(\circ)+(x-30)^(\circ)=90^(\circ)}`

`{:\implies \quad \sf 2x^(\circ)-30^(\circ)=90^(\circ)}`

`{:\implies \quad \sf 2x^(\circ)=120^(\circ)}`

`{:\implies \quad \sf x^(\circ)=(120^(\circ))/(2)=\bf \boxed{60^(\circ)}}`

Hence, the required value of x is 60