The measurement of angle x is 52° and y is 38°

Step-by-step explanation:

Let us define supplementary and complementary angles first.

Supplementary angles is pair of angles whose sum is 180°

While complementary angles sum up to 90°

Given

That x and y are complementary and x is supplementary to 128.

This means that sum of x and 128 is 180°

So,

So,

x = 52°

It is also given that x and y are complementary which means that

Hence,

The measurement of angle x is 52° and y is 38°

Keywords: Supplementary angles, complementary angles

Learn more about angles at:

#LearnwithBrainly

The measurement of angle x is 52° and y is 38°

Step-by-step explanation:

Let us define supplementary and complementary angles first.

Supplementary angles is pair of angles whose sum is 180°

While complementary angles sum up to 90°

Given

That x and y are complementary and x is supplementary to 128.

This means that sum of x and 128 is 180°

So,

x = 52°

It is also given that x and y are complementary which means that

Hence,

The measurement of angle x is 52° and y is 38°

Keywords: Supplementary angles, complementary angles

Learn more about angles at:

#LearnwithBrainly

The measure of angle x: 52 degree and angle y: 38 degree

Step-by-step explanation:

complementary are 90 degrees and supplementary are 80

The measure of angle x is 52 degree and angle y is 38 degree

Solution:

Given that Angle x and angle y are complementary

Angle x is supplementary to a 128 degree angle

To find: measures of angle x and angle y

Two angles are complementary when they add up to 90 degrees

Two angles are supplementary when they add up to 180 degrees

Given Angle x is supplementary to a 128 degree angle

Therefore, angle x + 128 = 180

angle x = 180 - 128

angle x = 52 degrees

Also given that Angle x and angle y are complementary

So, we get

angle x + angle y = 90

52 + angle y = 90

angle y = 90 - 52

angle y = 38 degrees

Therefore the measure of angle x is 52 degree and angle y is 38 degree

sinx = cosy

Step-by-step explanation:

option D is true because of the relationship between cos and sine

costheta = sine(90 - theta)

sine x = cos (90-x)

but x + y = 90

sine x = cos(x + y -x)

sineX = cos Y

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