Question

[100 POINTS+BRAINLIEST] Use the figure to find each missing angle measure.

Answer 1

Answer:

$< 1 = 112 \\ < 2 = 68 \\ < 3 = 90 \\ < 4 = 90 \\ < 5 = 22 \\ < 6 = 158$

Step-by-step explanation:

$< 4 = 90 \: (vertical \: angles)\\ < 3 = 180 - 90 = 90 \: (flat \: angle)\\ < 2 = 68 \\ < 1 = 112 \\ < 1 = 180 - 68 = 112 \: (triangle) \\ < 5 = 180 - < 2 - < 4 = 22 \\ < 6 = 180 - 22 = 158$

Answer 2

Answer:

Angle 1 is 112°, 2 is 68°, 3 is 90°, 4 is also 90°, 5 is 22° and angle 6 is 158°

Step-by-step explanation:

To find angles 3 &4 and 2 &1, you subtract the measurement given in each intersection from 180 (all straight lines are 180) to find the other angle measurements. To find 5 I used the 4th angle and the 2nd angle to find the missing number out of 180 since all of the angles in a triangle have a sum of 180°. The missing angle was 22. You can use the angle measurement of #5 to find 6 like how I mentioned before about all straight lines equaling 180°. If this all sounds like mumbo-jumbo I can elaborate a little more in the comment section!