If each quadrilateral below is a trapezoid, find the missing measures.
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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.
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:
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