The ratios of measures of the angles in triangle abc is 4: 13: 19. find the measures of each of the angles. show all of the work/explain.

Measures of the angles are 20°, 65° and 95°.

Step-by-step explanation:

We are given that,

Ratio of the angles of the triangle ABC is 4 : 13 : 19.

Let the constant corresponding to the measures of the angle = x.

So, the measures of the angles will be,

Since, the sum of measures of the angles of a triangle is 180°.

We get,

i.e.

i.e. x = 5

Thus, the measures of the angles are,

4x = 4×5 = 20°

13x = 13×5 = 65°

19x = 19×5 = 95°

Also, sum of the obtained measures = 20° + 65° + 95° = 180°.

Hence, the measures of the angles are 20°, 65° and 95°.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.