Answer :

bnarzhea
To help u better understand it find the relationship whether its same side interior/exterior or alternate interior/exterior angles.
1) T is congruent to R so... T=79
2)180-102=68 so ...G=68
3)180-145=35 so ....E=35
4)180-139=41 so....L=41

The measure of angle R is 79 degrees.

The measure of angle E is 35 degrees.

The measure of angle G is 68 degrees.

The measure of angle L is 41 degrees.

We have to determine the measure indicated in each parallelogram.

According to the question

1. The opposite angles of a parallelogram are congruent.

So the T is congruent to R.

Therefore T = R = 79

2. The sum of two adjacent angles is equal to 180°. It implies that two adjacent angles are supplementary.

The measure of angle D is 145 degrees.

Then,

[tex]\rm \angle D + \angle E = 180\\\\145 + \angle E = 180\\\\\angle E = 180-145\\\\\angle E = 35 \ degrees[/tex]

The measure of angle E is 35 degrees.

3. The measure of angle H is 102 degrees.

Then,

[tex]\rm \angle G + \angle H= 180\\\\102 + \angle G = 180\\\\\angle G = 180-102\\\\\angle G= 68 \ degrees[/tex]

The measure of angle G is 68 degrees.

4. The measure of angle K is 139 degrees.

Then,

[tex]\rm \angle K+ \angle L = 180\\\\139+ \angle L= 180\\\\\angle L = 180-139\\\\\angle L = 41 \ degrees[/tex]

The measure of angle L is 41 degrees.

To know more about Parallelogram click the link given below.

https://brainly.com/question/2941663

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