Ask a New Question
Menu

what is The measure of angle GHK if K is at 4 and G is at 158 and H is at the center at 0 on the protractor?

11 answers

To determine the measure of angle GHK, we need to find the difference in degrees between the points G, H, and K on the protractor.

Given that H is at the center of the protractor (0 degrees), we can calculate the measure of angles GH and KH separately.

The measure of angle GH is determined by the difference between G (158 degrees) and H (0 degrees).

Angle GH = 158 degrees - 0 degrees = 158 degrees.

Similarly, the measure of angle KH is determined by the difference between K (4 degrees) and H (0 degrees).

Angle KH = 4 degrees - 0 degrees = 4 degrees.

Thus, the measure of angle GHK is the sum of angles GH and KH:

Angle GHK = Angle GH + Angle KH = 158 degrees + 4 degrees

Angle GHK = 162 degrees.
what is The measure of angle GHK if K is at 4 and G is at 158 on the protractor?
To determine the measure of angle GHK, we need to find the difference in degrees between points G, H, and K on the protractor.

Given that G is at 158 degrees and K is at 4 degrees on the protractor, the measure of angle GHK can be calculated by finding the difference between these two points.

Angle GHK = G - K = 158 degrees - 4 degrees

Angle GHK = 154 degrees.
Use the relationship between angles to determine the value of y if x = 12 on a vertical angle
Vertical angles are formed by intersecting lines and are congruent, meaning they have the same measure.

If x = 12 and x is a vertical angle, then the vertical angle (y) will also be 12.

Therefore, the value of y is 12.
Use the relationship between angles to determine the value of y if x = 125 on a vertical angle
If x = 125, and x and y are vertical angles, then the measure of the vertical angle y will also be 125.

Therefore, the value of y is 125.
Which two equations can be used to determine the measure of these two angles? DBA is 4x and CBD is (7x-9)
To determine the measure of angles DBA and CBD, you can use the fact that the sum of the angles in a triangle is 180 degrees.

Since angles DBA and CBD are part of triangle BDA, we can set up the following equation:

DBA + CBD + angle BDA = 180

Substituting the given values:

4x + 7x - 9 + angle BDA = 180

To determine angle BDA, we can use the fact that angles on a straight line add up to 180 degrees:

angle BDA + angle ABD = 180

Substituting the given value:

angle BDA + (4x) = 180

Simplifying:

4x + 7x - 9 + angle BDA + angle BDA + 4x = 180

15x - 9 + 2angle BDA = 180

2angle BDA = 189 - 15x

angle BDA = (189 - 15x)/2

These are the two equations that can be used to determine the measure of angles DBA and CBD, given that DBA is 4x and CBD is (7x - 9).
Which two equations can be used to determine the measure of these two angles? DBA is 4x and CBD is (7x-9) on a ninety degree angle
If angle DBA is 90 degrees (a right angle), we know that the sum of angles DBA and CBD must be 90 degrees as well.

Thus, we can set up the following equation:

4x + (7x - 9) = 90

Simplifying:

11x - 9 = 90

To determine the value of x, we can isolate the variable:

11x = 99

x = 9

Now that we have the value of x, we can substitute it back into the equations for DBA and CBD to find their specific measures:

DBA = 4x = 4(9) = 36 degrees
CBD = 7x - 9 = 7(9) - 9 = 54 degrees

Therefore, angle DBA measures 36 degrees and angle CBD measures 54 degrees when DBA is a 90-degree angle.