Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
-3=7x -10
-7x=-10+3
-7x=-7
x=1
Steps of adding 7+(-10) using number line are as following:
1) Draw a number line by ranging from -10 to +10.
2) Point out 7 on the number line.
3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.
4) The number we reach -3 on left side would be our final sum.
5) From the number we can clearly see that moving 10 number on left to 7, we get -3.
Note: We are moving left because of negative sign in front of 10.
Let angle be alpha






If you have angle measure in degree put in place of Alpha and get the value elaw this is our final answer
Answer:
B. sometimes
Step-by-step explanation:
Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.
Supplementary angles are two angles whose measures add to 180 deg.
If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.
Answer: sometimes