Question

Please give me good answer​

Answer 1

Answer:

x = 20°

Step-by-step explanation:

Given:

>> A line segment EAB.

>> Two rays are projected from point A. Namely, D & C.

>> DAE = (x - 5)°

>> DAC = (3x + 20)°

>> CAB = 65°

To Find:

Value of x =?

Procedure:

By peeping at the figure, we can infer that the sum of angles would be 180°, as they lie on a straight line.

So, we can write down:

$\bf \implies \angle DAE + \angle DAC + \angle CAB = 180^{\circ}$

$\implies \sf (x -5)+(3x+20)+(60)=180$

$\implies \sf (3x +x )+(20-5)+(65) = 180$

$\implies \sf 4x + 15 + 65 = 180$

$\implies \sf 4x + 80 = 180$

$\implies \sf 4x = 180-80$

$\implies \sf x = \dfrac{100}{4}$

x = 25

EAD = (x-5) = 25-5 = 20°

DAC = (3x + 20) = [3(25)+20] = 75+20=95

Answer 2

Answer:

Given:

>> A line segment EAB.

>> Two rays are projected from point A. Namely, D & C.

>> DAE = (x - 5)°

>> DAC = (3x + 20)°

>> CAB = 65°

To Find:

Value of x =?

Procedure:

By peeping at the figure, we can infer that the sum of angles would be 180°, as they lie on a straight line.

So, we can write down:

⟹∠DAE+∠DAC+∠CAB=180∘

⟹(x−5)+(3x+20)+(60)=180

⟹(3x+x)+(20−5)+(65)=180

⟹4x+15+65=180

⟹4x+80=180

⟹4x=180−80

⟹x= 100/4

x = 25

EAD = (x-5) = 25-5 = 20°

DAC = (3x + 20) = [3(25)+20] = 75+20=95.

Hope this is helpful for you.