What are the measures of the marked angles? a. 19 ° b. 27 ° c. 38 ° d. 90 °

This is an incomplete question, the image is shown below.

Answer : The correct option is, (a) 19°

Step-by-step explanation:

Opposite angles : These are the angles in which a pair of parallel lines are cut by tranversal then the two angles share the same corner.

Opposite angles are also congruent angles, that means they are equal.

As we know that the opposite angles are equal.

And, (3x - 8)°  & (2x + 1)° are alternate interior angles.

Thus, the expression will be:

(3x - 8)  = (2x + 1)

3x - 8  = 2x + 1

3x - 2x = 8 + 1

x = 9

(3x - 8)°  & (2x + 1)°

(3(9) - 8)°  & (2(9) + 1)°

19° & 19°

Therefore, the measures of the marked angles is, 19°

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm