in a diagram 3 and 5 are vertical angles, 4 is a supplementary angle with 5. if m3 = 67, which equation can you write to solve for m4

Answer 1

To solve for the measure of angle 4, we can use the fact that angles 3 and 5 are vertical angles, and angle 4 is a supplementary angle with angle 5.

Angles 3 and 5 are vertical angles, which means they are congruent. Therefore, we can say m3 = m5 = 67.

Angle 4 is a supplementary angle with angle 5, which means that their measures add up to 180 degrees. So, we can write the equation:

m4 + m5 = 180

Since we know that m5 = 67, we can substitute it into the equation:

m4 + 67 = 180

To solve for m4, we can subtract 67 from both sides of the equation:

m4 = 180 - 67

m4 = 113

Therefore, the equation to solve for m4 is:

m4 = 113