Pls help
Use the diagram below to answer the following questions given a and b the value of x is blank. The measure of one is blank measure to as blank measure 3/4 is blank measure 5 is blank measures such as blank measures 7 is blank measure 8 is blank angles 2 and 3 are blank angles.
Pls help

Solution:

Given A || B.

Vertically opposite angles are congruent.

⇒ 3x + 19 = 5x – 29

Subtract 19 on both sides.

⇒ 3x = 5x – 48

⇒ –2x = – 48

Divide by –2 on both sides.

⇒ x = 24

Sum of the adjacent angles in a straight line = 180°

m∠7 + 5x – 29 = 180°

m∠7 + 5(24) = 209°

m∠7 + 120 = 209°

m∠7 = 89°

m∠7 and m∠8 are vertically opposite angles.

m∠7 = m∠8

m∠8 = 89°

Substitute x = 24 in 3x + 7.

3x + 7 = 3(24) + 7 = 79°

∠1 and 3x + 7 are supplementary.

m∠1 + 3x + 7 = 180°

m∠1 + 79° = 180°

m∠1 = 101°

∠1 and ∠3 are vertical angles.

∠1 = ∠3

m∠3 = 101°

3x + 7 and ∠2 are vertical angles.

∠2 = 3x + 7

m∠2 = 79°

∠2 and ∠5 are alternative interior angles.

If two lines are parallel then alternative interior angles are congruent.

m∠5 = m∠2

m∠5 = 79°

∠3 and ∠4 are alternative interior angles.

m∠4 = m∠3

m∠4 = 101°

∠5 and ∠6 are vertical angles.

m∠5 = m∠6

m∠6 = 79°

Hence 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 89°.

The measure of ∠8 is 89°.

  2087568668/1  

step-by-step explanation:

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.