If the measure of angle 1 = 4x + 10 and the measure of angle 7 = 6x + 4. what are the measures of angle 1 and what is the measure of angle 7?
To find the measures of angle 1 and angle 7, we need to set up an equation based on the information provided.
Given:
Measure of angle 1 = 4x + 10
Measure of angle 7 = 6x + 4
Since the angles are measured in degrees, we can equate the two angle measures:
4x + 10 = 6x + 4
To solve for x, we need to isolate it on one side of the equation. Let's subtract 4x from both sides:
10 = 2x + 4
Next, we'll subtract 4 from both sides:
6 = 2x
Finally, divide both sides by 2:
3 = x
Now that we have the value of x, we can substitute it back into the original equations to find the measures of angle 1 and angle 7.
For angle 1:
Measure of angle 1 = 4x + 10
Measure of angle 1 = 4(3) + 10
Measure of angle 1 = 12 + 10
Measure of angle 1 = 22
Therefore, the measure of angle 1 is 22 degrees.
For angle 7:
Measure of angle 7 = 6x + 4
Measure of angle 7 = 6(3) + 4
Measure of angle 7 = 18 + 4
Measure of angle 7 = 22
Therefore, the measure of angle 7 is 22 degrees.