Angle m is 151°.
Angle g is 63°.
To find the measure of the missing angles, we need to consider the angles formed by the line segments. Let's label the angles as follows:
29° -- m -- k -- 63° -- g -- h
To find the measure of angle m, we can use the fact that the sum of the angles in a straight line is 180°. Since angle m and angle k are on a straight line, we can write the equation:
angle m + angle k = 180°
Substituting the given values:
angle m + 29° = 180°
To solve for angle m, we subtract 29° from both sides:
angle m = 180° - 29°
angle m = 151°
Therefore, the measure of angle m is 151°.
To find the measure of angle g, we can use the fact that angles g and h are vertically opposite angles. Vertically opposite angles are equal, so we can write the equation:
angle g = angle h
Since angle h is given as 63°, angle g is also 63°.
Therefore, the measure of angle g is 63°.