(80 points)
use the diagram below to answer the following questions.

given a || b.

the value of x is .
the measure of 1 is °.
the measure of 2 is °.
the measure of 3 is °.
the measure of 4 is °.
the measure of 5 is °.
the measure of 6 is °.
the measure of 7 is °.
the measure of 8 is °.
angles 2 and 3 are angles.

The value of x is 24

The measure of 1 is 101°

The measure of 2 is 79°

The measure of 3 is 101°

The measure of 4 is 101°

The measure of 5 is 79°

The measure of 6 is 79°

The measure of 7 is 79°

The measure of 8 is 79°

Angles 2 and 3  are supplementary angles

Step-by-step explanation:

A ║ B

<2 = 3x + 7

<2 = <5

so <5 = 3x + 7

4x + 5 + 3x + 7 = 180

7x + 12 = 180

7x = 168

x = 24

<1 = <3 = 4(24) + 5 = 101°

<2 = 3(24) + 7 = 79°

<4 = <3 =  101°

<5 = < 6 = <2 = 79°

5x - 29 = 5(24) - 19 =  101°

<7 = < 8  = 180° - 101° = 79°

a

step-by-step explanation: