Respuesta :

22523

Answer:

C = 101

E = 46

Step-by-step explanation:

79 + 134 = 213

180 - 79 = 101 (C+F has to equal 180)

79 + 134 + 101 = 314

360 - 314 = 49 (trapezoids have a total degree of 360)

The measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.

It is given in the picture that measures the angles of a trapezoid.

It is required to find the other angles.

What is a trapezoid?

It is defined as the quadrilateral having four sides in which two sides are parallel to each other it is a 2-dimensional geometry.

We have a trapezoid CDEF in which ∠D = 134° and ∠CFE = 79°

We know in trapezoid:

∠C+∠F = 180° and

∠D+∠E = 180°

For ∠C = 180° - ∠F ⇒ 180° - 79° ⇒ 101°

For ∠E = 180° - ∠E  ⇒ 180° - 134° ⇒46°

We have another trapezoid JKLM in which ∠K = 83°

We know in isosceles trpezoid:

∠K = ∠J = 83° and

∠L = ∠M

∠L = 180° - ∠K ⇒ 180° - 83°  ⇒ 97° ⇒ ∠M

Thus, the measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.

Learn more about the trapezoid here:

https://brainly.com/question/8643562