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Find the measure of the missing angles. 29° m k 63° g h

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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°.

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