Vertical angles are formed by two intersecting lines. They are opposite to each other and therefore have equal measures.
Given:
Measure of angle 2 (M2) = 5X + 23
Measure of angle 4 (M4) = 3X + 35
Since the angles are vertical angles, their measures are equal.
Therefore, we can set up an equation to solve for X:
5X + 23 = 3X + 35
Subtracting 3X from both sides:
2X + 23 = 35
Subtracting 23 from both sides:
2X = 12
Dividing both sides by 2:
X = 6
Now, substitute the value of X back into either equation to find the measure of the angles.
Measure of angle 2 (M2) = 5(6) + 23 = 30 + 23 = 53
Measure of angle 4 (M4) = 3(6) + 35 = 18 + 35 = 53
So, the measure of each angle is 53 degrees.
2 vertical angle with measures of M2 equals 5X plus 23 and M4 equals 3X plus 35. What is a measure of each angle
1 answer
1 answer