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jeyben [28]
2 years ago
15

Is it adjacent or vertical find the value of X

Mathematics
2 answers:
erastovalidia [21]2 years ago
8 0

Answer:

Adjacent, x = 60°

Step-by-step 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°

S_A_V [24]2 years ago
4 0

Here, the angles x° and (x - 30)° both are complementary angles, so they will <em>add</em> upto 90°, thus we can obtain a <em>equation</em> 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}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}

<em>Hence, the required value of x is 60 </em>

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<u>Trigonometry</u>

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<u>Step 1: Define</u>

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3 years ago
Given circle and circle with radii of 6cm and 4cm respectively.
noname [10]

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Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

\angle EAF = \theta = 140^\circ

The length of arc EF = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$

                                    = 14.653 cm

In circle C

\angle GCH = \theta = 140^\circ

The length of arc GH = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

6 0
4 years ago
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