Respuesta :
Here in the figure ΔDGF and ΔDEF are similar to each other by AAA criteria.
as ∠GDF = ∠EDF
∠DGF = ∠DEF
and ∠GFD = ∠EFD
So ∠DGF = ∠DEF =84° (Answer).
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I hope this helps out!
These are valid as of 3-1-2022 for the 2.5 Exploring Angles Quiz
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1. What plane contains points E, F, and H?
B) the plane on the bottom of the figure
2. Supplementary angles are two angles whose measures have a sum of (180 degrees). Complementary angles are two angles whose measures have a sum of (90 degrees) Hence, C) 180; 90 is correct.
3. Use the figure below to name an angle vertical to Angle DGE.
B) Angle JGI
4. Two angles whose sides are opposite rays are called (vertical) angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called (adjacent) angles. Hence, C) vertical; adjacent is correct.
5. How are the two angles below related? Drawing is not to scale.
A) supplementary
6. (Any) two points are collinear. So, A) Any is correct.
7. Name the intersection of plane ACG and plane BCG.
C) Line CG
8. How many cubes would you use to make the structure below?
A) 17 cubes
9. Line MO bisects Angle LMN, m Angle LMN = 6x - 28, m Angle LMO = x + 34. Find m Angle NMO. The diagram is not to scale.
D) 58.
10. Angle 1 and Angle 2 are a linear pair. m Angle 1 = x - 30, and m Angle 2 = x + 76. Find the measure of each angle.
C) Angle 1 = 37, Angle 2 = 143
11. If T is the midpoint of line SU, what are ST, Tu, and SU?
For the diagram with 5x; 3x + 32, it is B) ST =80, TU = 80, SU = 160
12. Complete the statement. The drawing is not to scale. "If m Angle DGF = 84 degrees, then m Angle DEF = (84 degrees)". So B) 84 degrees is correct.
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Again, hope this helps! This is for connexus only though bear in mind! If it did help, please mark Brainliest, tysm and Happy Early St. Patrick's Day!
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