The measure of ∠2 is (5x + 23) ° and the measure of ∠4 is (3x + 35) °.
However, the values of x and the specific angles are not given in the question. Therefore, it is not possible to determine the measure of each angle.
For two vertical angles with measures and , what is the measure of
each angle? (1 point)
m∠2 = (5x + 23) ° m∠4 = (3x + 35) °
29°
6°
53°
15.3°
3 answers
what is the anser
Apologies for the confusion. In order to find the measure of each angle, we need to set ∠2 and ∠4 as equal to each other.
(5x + 23) ° = (3x + 35) °
Now, we can solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now that we have found the value of x, we can substitute it back into either equation to find the measures of ∠2 and ∠4.
m∠2 = (5x + 23) ° = (5 * 6 + 23) ° = 53°
m∠4 = (3x + 35) ° = (3 * 6 + 35) ° = 53°
Therefore, the measure of each angle is 53°.
(5x + 23) ° = (3x + 35) °
Now, we can solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now that we have found the value of x, we can substitute it back into either equation to find the measures of ∠2 and ∠4.
m∠2 = (5x + 23) ° = (5 * 6 + 23) ° = 53°
m∠4 = (3x + 35) ° = (3 * 6 + 35) ° = 53°
Therefore, the measure of each angle is 53°.