Answer:
1 : 15
2: 12
3: 52
4: 27.3
Step-by-step explanation:
For #1:
if line m and n are perpendicular then they will create right angles
Right angles have a measure of 90 degrees
That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90
so k = 90 - 75
90 - 75 = 15
Hence k = 15.
For #3 ( very similar to #1, only difference is the values of the angles )
so R = 90 - 38
90 - 38 = 52
Hence, R = 52
For #2 and #4
Complementary angles have a sum of 90°
So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90
∠V = 90 - 78
90 - 78 = 12
Hence ∠V = 12
∠Y = 90 - 62.7
90 - 62.7 = 27.3
Hence ∠Y = 27.3
