Question

Please help ASAP.

Answer 1

One is c and 2 is c.

1. 82-180=98
2.2x+28=6x-4 ---> x=6 plug 6 in for x and the answer is 40

Answer 2

Answer:

1. The correct option is c.

2. The correct option is c.

Step-by-step explanation:

1.

From the given figure it is noticed that the angle 6 and angle 7 are lie on a straight line. It means angle 6 and 7 are supplementary angles.

The sum of supplementary angles is 180 degree.

$\angle 6+\angle 7=180^{\circ}$

$82^{\circ}+\angle 7=180^{\circ}$

$\angle 7=180^{\circ}-82^{\circ}$

$\angle 7=98^{\circ}$

Therefore option c is correct.

2.

If two lines intersect each other, then the vertically opposite angles are same.

From the given figure it is noticed that the angle 1 and 3 are vertically opposite angles, therefore measure of both angles are equal.

$\angle 1=\angle 3$

$2x+28=6x+4$

$4x=24$

$x=6$

The value of x is 6.

The measure of angle 3 is

$\angle 3=6(6)+4$

$\angle 3=40^{\circ}$

Therefore option c is correct.