How can you find the measure of the third angle of a triangle if the other two measures are known?

2 answers:

7 0

you would add up both of the other two measures and then subtract that by 180 since all triangles add up to 180 degrees

kolezko [41]2 years ago

6 0

Answer : If you add all three interior angle measures together in a triangle it will always equal 180°.. To find a third angle you will subtract the sum of the two given angles from 180Â°

Explanation: hope this helps

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A gem cutter cuts a polyhedral crystal from a garnet gemstone. The crystal has 10 fewer vertices than edges and twice as many ed

Vikki [24]

Answer:

vertices (V) = 6, faces (F) = 12 and edges (E) = 16

Step-by-step explanation:

A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.

Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:

F + V - E = 2.

Given that:

E - V = 10, Therefore E = V + 10

F = 2 × V = 2V

Substituting into the Euler formula:

2V + V - (V + 10) = 2

2V + V - 10 - V = 2

2V = 12

V = 12/2 = 6

Therefore, E = V + 10 = 6 + 10 = 16

F = 2V = 2 × 6 = 12