two intersecting lines create four angles with the same vertex, labeled a,b,c, and d. angle b is adjacent to /a and /c. find m/a if m/c=75

Answer 1

Since angle b is adjacent to angles a and c, we can determine the relationship between angles a and c.

The sum of adjacent angles form a straight line is 180 degrees, so:

m/a + m/b = 180
m/b + m/c = 180

We know that m/c = 75, so we can substitute that in:

m/b + 75 = 180
m/b = 105

Now, we know that angles a and b are also adjacent, so:

m/a + 105 = 180
m/a = 75

Therefore, the measure of angle a is 75 degrees.

Answer 2

if m/4=31, what is m/2?
59
180
31
90

Answer 3

If two intersecting lines create four angles with the same vertex, labeled a, b, c, and d, and angle b is opposite of angle d, then angles a and c are vertical angles and are congruent.

Given that m/4 = 31, and knowing that angles that are adjacent to vertical angles are also congruent, we can deduce that m/3 = 31.

Now, the sum of angles on a straight line is 180 degrees, so m/3 + m/2 = 180.

Substitute m/3 = 31:

31 + m/2 = 180
m/2 = 180 - 31
m/2 = 149

Therefore, m/2 is 149 degrees.

Answer 4

pick one of the four answers

Answer 5

The correct answer is:

m/2 = 149

Answer 6

59
180
31
90

Answer 7

The correct answer is:

m/2 = 180.

Since the sum of angles on a straight line is 180 degrees, and we already have m/4 = 31, that leaves us with m/2 to make the sum of angles on the straight line equal to 180 degrees.