Which is a true statement about the diagram? m∠5 + m∠6 = m∠1 m∠3 + m∠4 + m∠5 = 180° m∠1 + m∠2 = 180° m∠2 + m∠3 = m∠5

Third option is the right choice.

Step by step explanation:

We have been given an diagram and we are asked to choose the true statement about the diagram.

Let us see our all choices one by one.

1.

We can see that and are supplementary and there measure should be equal to 180 degrees. is exterior angle of our triangle and its measure must be equal to sum of measures of and .

Therefore, 1st option is incorrect.  

2.

We can see that and are supplementary and they must be equal to 180 degrees.  Therefore, 2nd option is also incorrect.

3.

We can see from our diagram that and are supplementary. Therefore, 3rd option is the correct choice.

4.

We can see that , and are interior angles of our triangle and their measure should be equal to 180 degrees. By exterior angle theorem sum of measures of and will be equal to measure of instead of .

Therefore, our 4th option is also incorrect.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

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125.28

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