Question

help plz, will pick brainliest

Answer 1

Answer:

x = 34

Explanation:

From figure its clear that

(x + 12) + 100 + x = 180     {Since its the sum of the angles in straight line is 180}

2x + 112= 180

2x = 180 - 112 = 68

x = 68/2

x = 34

Answer 2

Answer :-

• The value of all the angles are 46°, 100° and 34°.

Step-by-step explanation :-

We know the value of the angles.

We have to find the value of x.

All these angles are on a straight line.

We know that :-

Sum of all the angles on a straight line = 180°.

So, clearly, all these angles should add up to 180°.

Therefore, we get :-

$\sf (x + 12)^{\circ} + 100^{\circ} + x^{\circ} = 180^{\circ}$

Removing the brackets,

$\sf x^{\circ} + 12^{\circ} + 100^{\circ} + x^{\circ} = 180^{\circ}$

Adding all the variables (x° + x°),

$\sf 2x^{\circ} + 12^{\circ} + 100^{\circ} = 180^{\circ}$

Transposing 100 and 12 from LHS to RHS, changing it's sign,

$\sf 2x^{\circ} = 180^{\circ} - 100^{\circ} - 12^{\circ}$

Subtracting the numbers,

$\sf 2x^{\circ} = 80^{\circ} - 12^{\circ}$

Subtracting the numbers again,

$\sf 2x^{\circ} = 68^{\circ}$

Transposing 2 from LHS to RHS, changing it's sign,

$\sf x^{\circ} = \dfrac{68^{\circ}}{2}$

Dividing 68° by 2,

$\sf x^{\circ} = 34^{\circ}.$

The value of x = 34°.

Therefore, the value of all the angles are as follows :-

$\sf (x + 12)^{\circ} = (34 + 12)^{\circ} = 46^{\circ}.$

$\sf 100^{\circ} = 100^{\circ}.$

$\sf x^{\circ} = 34^{\circ}.$

So, the angles are 46°, 100° and 34°.