Question

The difference in measure of two complementary is 14 find the difference of the angle

Answer 1

Let x = measure of one angle
then
90-x = measure of second angle
.
x - (90-x) = 14
x - 90+x = 14
2x - 90 = 14
2x = 104
x = 52 degrees
.
second angle:
90-x = 90-54 = 36 degrees
.
answer: 52 and 36 degrees

Answer 2

Answer:

Step-by-step explanation:

Let X be the measure of one angle and y be the measure of second angle.where x>y

We know that,

X+ y = 90°___(1)

According to given condition,

x-y=14___(2)

Adding equation (1) and (2) we get,

X+y=90

+x-y=14

________

2x=104

X=52

Substitute X in eq(1)

52+y=90

y=90-52

y=38