Question

In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree?

Answer 1

1. 7 is (14x)°

Explanation:

In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? The nearest degree measure of angle 7 is (14x)°

Answer 2

The correct option is C

C) 76°

Explanation:

The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.

We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.

<2 = <4

126 = 7x

x = 18

Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.

<7 = <5

<7 = 4x+4

Substitute x=18

<7 = 4(18) + 4

<7 = 76°